COVENANT TRANSPORT ANNOUNCES FOURTH QUARTER AND YEAR-END OPERATING RESULTS

CHATTANOOGA,   TENNESSEE  -  January  27,  2004  -  Covenant   Transport,   Inc.
(Nasdaq/NMS:CVTI) announced today financial and operating results for the fourth
quarter and year ended December 31, 2003.

For the  quarter,  total  revenue  increased  4%, to $152.2  million from $146.7
million in 2002.  Total revenue  included fuel surcharges and other  accessorial
revenue of $9.1  million,  compared  with $8.0 million in 2002.  Excluding  fuel
surcharge and other accessorial revenue,  freight revenue increased 3% to $143.1
million from $138.7 million in 2002. The Company measures  revenue,  before fuel
surcharge and other accessorial  revenue,  or "freight  revenue," in addition to
total revenue,  because  management  believes  removing this sometimes  volatile
source of  revenue  affords a more  consistent  basis for  comparing  results of
operations from period to period. Net income increased 23%, to $4.1 million from
$3.4 million in 2002. Net income per diluted share  increased 22%, to $0.28 from
$0.23 in 2002.

For the year, total revenue  increased 3%, to $582.5 million from $564.4 million
in 2002. Total revenue included fuel surcharges and other accessorial revenue of
$35.7 million, compared with $22.6 million in 2002. Excluding fuel surcharge and
other accessorial  revenue,  freight revenue increased 1% to $546.8 million from
$541.8  million in 2002.  Net income  increased  47%, to $12.2 million from $8.3
million in 2002. Net income per diluted share increased 48%, to $0.83 from $0.57
in 2002.  During  the first  quarter of 2002,  the  Company  recognized  pre-tax
charges of $3.3  million to reflect  an  impairment  in tractor  values and $1.4
million to reflect the early extinguishment of debt.

Chairman,  President,  and  Chief  Executive  Officer  David R.  Parker  stated,
"Freight  demand  continued to be strong  throughout  the fourth  quarter in all
areas of the country and across  industry  groups.  This strength  allowed us to
raise  revenue per tractor per week by 3.8%  compared  with the same  quarter of
2002. After several  difficult years,  being able to exceed $2,900 per truck per
week for two straight quarters is beginning to show progress towards our goal of
at least  $3,000 per truck per week.  Contributing  factors  were an increase in
average  revenue  per loaded  mile of $.04 per mile and an  increase  in average
miles per tractor of 1%.


On the expense side, our after-tax  cost per mile  increased  $.024 per mile. As
previously  announced,  the higher  costs of new  tractors  and  trailers  which
resulted from updating our fleet,  plus adding 1,770  trailers while not growing
our  tractor  fleet,  increased  our  ownership/lease  costs by $.037  per mile.
Savings in other areas  partially  offset this increase.  Ownership/lease  costs
include both leased and owned  equipment  and are reflected in the combined cost
of revenue equipment rentals,  depreciation,  and interest.  Our results for the
quarter included an approximately  $260,000  non-cash benefit from interest rate
changes under SFAS No. 133. Our pretax margin improved by approximately 75 basis
points versus the fourth quarter of 2002.

During  2003,  one of our  major  goals  was to reduce  the  average  age of our
tractors and  trailers in order to reduce our ongoing  maintenance  expense.  We
also decided to increase the size of our trailer fleet and operate with a higher
trailer to tractor ratio, because of the reduction in our average length of haul
over the past few years.  We took delivery of 1,447  tractors and 3,038 trailers
and disposed of 1,520 tractors and 2,407 trailers  during the year. This lowered
the  average  age of our  tractor  fleet to 19.1 months from 26.3 months and our
trailer  fleet to 33.8 months from 54.8 months,  at December 31, 2003,  and 2002
respectively. We are beginning to realize the maintenance savings and expect the
savings to increase in 2004.  In  addition,  we believe the  additional  trailer
capacity will improve the  efficiency  of our  operations,  particularly  in our
short to medium haul lanes.

We financed a significant  portion of the tractors and trailers under  operating
leases. Our increased usage of operating leases allowed us to use our cash flows
to reduce balance sheet debt. At December 31, 2003, our total balance sheet debt
was $61.7 million and our stockholders'  equity was $192.1 million,  for a total
debt-to-capitalization  ratio of 24%. The reduction in debt of approximately $22
million  during 2003 was more than offset by an  increase in  operating  leases,
which we estimate to have  increased  by a present  value of  approximately  $47
million.  At  December  31,  2003,  we had $88  million of  available  borrowing
capacity on our line of credit.

The Company will be hosting a conference call on Wednesday, January 28, 2004, at
11:00 a.m.  EST. The public will be able to listen and  participate  in the call
telephonically by dialing 800-603-1780 access code 4810372. For more information
on how  to  access  the  conference  call  and  for  statistical  and  financial
information  regarding  the Company that is expected to be discussed  during the
conference call, please visit our website at www.covenanttransport.com


Covenant Transport,  Inc. is a public truckload carrier that offers just-in-time
service and other premium  transportation  services for customers throughout the
United States.  Covenant operates one of the ten largest fleets in North America
and is committed to growing  revenue and earnings per share both  internally and
through  acquisitions.  The  Company's  common  stock is  traded  on the  Nasdaq
National Market under symbol, "CVTI."

This press  release  contains  forward-looking  statements  that  involve  risk,
assumptions,  and uncertainties  that are difficult to predict.  Statements that
constitute  forward-looking  statements are usually  identified by words such as
"anticipates,"   "believes,"   "estimates,"   "projects,"   "expects,"  "plans,"
"intends," or similar  expressions.  These  statements  are made pursuant to the
safe harbor provisions of the Private Securities  Litigation Reform Act of 1995.
Such  statements  are based upon the  current  beliefs and  expectations  of our
management  and are  subject  to  significant  risks and  uncertainties.  Actual
results may differ from those set forth in the forward-looking  statements.  The
following factors, among others, could cause actual results to differ materially
from those in forward-looking statements:  excess tractor or trailer capacity in
the trucking industry;  decreased demand for our services or loss of one or more
or our major customers;  surplus inventories;  recessionary  economic cycles and
downturns in  customers'  business  cycles;  strikes,  work slow downs,  or work
stoppages  at  the  Company,   customers,   parts,  or  other  shipping  related
facilities;   increases  or  rapid  fluctuations  in  fuel  prices  as  well  as
fluctuations  in hedging  activities  and surcharge  collection,  the volume and
terms of diesel purchase  commitments,  interest rates,  fuel taxes,  tolls, and
license  and  registration  fees;  increases  in the prices paid for new revenue
equipment;  the  resale  value  of our  used  equipment  and  the  price  of new
equipment;  increases in  compensation  for and  difficulty  in  attracting  and
retaining qualified drivers and independent contractors;  elevated experience in
the  frequency  and  severity of claims  relating to accident,  cargo,  workers'
compensation,  health, and other claims;  high insurance premiums and deductible
amounts;  seasonal  factors  such as  harsh  weather  conditions  that  increase
operating costs;  competition from trucking,  rail, and intermodal  competitors;
regulatory  requirements that increase costs or decrease  efficiency,  including
revised  hours-of-service  requirements for drivers; the ability to successfully
execute the Company's initiative of improving the profitability of medium length
of  haul  movements;   and  the  ability  to  identify  acceptable   acquisition
candidates,  consummate acquisitions, and integrate acquired operations. Readers
should review and consider  these factors along with the various  disclosures by
the Company in its press  releases,  stockholder  reports,  and filings with the
Securities Exchange Commission.


For further information contact:
Joey B. Hogan, Executive VP and Chief Financial Officer         (423) 825-3336
hogjoe@covenanttransport.com

For copies of Company information contact:
Kim Perry, Administrative Assistant                             (423) 825-3357
perkim@covenanttransport.com





                                                      Covenant Transport, Inc.
                                               Key Financial and Operating Statistics

                                                          Three Months Ended Dec. 31            Twelve Months Ended Dec. 31
                                                      -----------------------------------  --------------------------------------
($000s)                                                   2003       2002      % Change           2003       2002      % Change
                                                          ----       ----      ---------          ----       ----      ---------
                                                                                                          
Freight revenue                                         $143,058   $138,695         3.1%        $546,766   $541,830         0.9%
Fuel surcharge and other accessorial revenue               9,099      7,969                       35,691     22,588
                                                      ----------------------               -------------------------
            Total revenue                               $152,157   $146,664         3.7%        $582,457   $564,418         3.2%

Operating expenses
            Salaries, wages and related expenses          55,329     57,685                      220,665    227,332
            Fuel expense                                  27,571     26,110                      109,231     96,332
            Operations and maintenance                     9,376      9,801                       39,822     39,625
            Revenue equipment rentals and
               purchased transportation                   19,983     14,897                       69,997     59,265
            Operating taxes and licenses                   3,835      3,576                       14,354     13,934
            Insurance and claims                           9,618      8,917                       35,454     31,761
            Communications and utilities                   1,870      1,918                        7,177      7,021
            General supplies and expenses                  3,969      3,950                       14,495     14,677
            Depreciation and amortization (1)             11,833     12,031                       43,041     49,497
                                                      ----------------------               -------------------------
Total operating expenses                                 143,384    138,885                      554,236    539,444
                                                      ----------------------               -------------------------
Operating income                                           8,773      7,779        12.8%          28,221     24,974        13.0%
Other (income) expenses:
            Interest expense                                 546        740                        2,332      3,542
            Interest income                                  (9)       (26)                        (114)       (63)
            Other                                          (261)       (18)                        (468)        916
            Early extinguishment of debt (2)                   -          -                            -      1,434
                                                      ----------------------               -------------------------
Other (income) expenses, net                                 276        696                        1,750      5,829
                                                      ----------------------               -------------------------
Income before income taxes                                 8,497      7,083        20.0%          26,471     19,145        38.3%
Income tax expense                                         4,393      3,733                       14,315     10,871
                                                      ----------------------               -------------------------
Net income                                                $4,104     $3,350        22.5%         $12,156     $8,274        46.9%
                                                      ======================               =========================

(1) Includes a $3.3 million pre-tax impairment charge which incurred in the first quarter of 2002.
(2) Reflects the reclassification of early extinguishment of debt due to the adoption of SFAS 145.

Basic earnings per share                                   $0.28      $0.23      21.7%             $0.84      $0.58        44.8%
Diluted earnings per share                                 $0.28      $0.23      21.7%             $0.83      $0.57        45.6%
Weighted avg. common shares outstanding                   14,626     14,375                       14,467     14,223
Weighted avg. common shares outstanding                   14,870     14,682                       14,709     14,519
              adjusted for assumed conversions

Operating statistics exclude fuel and accessorial surcharges.

Net margin as a percentage of freight revenue              2.87%      2.42%                         2.2%       1.5%
Average revenue per loaded mile                           $1.272     $1.232       3.2%            $1.245     $1.215         2.5%
Average revenue per total mile                            $1.174     $1.145       2.5%            $1.147     $1.129         1.6%
Average revenue per tractor per week                      $2,967     $2,859       3.8%            $2,852     $2,812         1.4%
Average miles per tractor per period                      33,214     32,801       1.3%           129,656    129,906        -0.2%
Weighted avg. tractors for period                          3,657      3,684      -0.7%             3,667      3,680        -0.4%
Tractors at end of period                                  3,752      3,738       0.4%             3,752      3,738         0.4%
Trailers at end of period                                  9,255      7,485      23.6%             9,255      7,485        23.6%

                                                         Dec 2003           Dec 2002
                                                         --------           --------
Total assets                                             $354,281           $361,541
Total equity                                              192,143            175,588
Total debt, including current maturities                   61,653             83,530
Debt to Capitalization Ratio                                24.3%              32.2%