SECOND AMENDMENT TO NOTE PURCHASE AGREEMENT

      This Second Amendment is Note Purchase Agreement (the "Second  Amendment")
is made of December  30,  1997,  among  Covenant  Transport,  Inc.,  a Tennessee
corporation   ("Issuer"),   Covenant  Transport,   Inc.,  a  Nevada  corporation
("Guarantor"),  and Connecticut General Life Insurance Company, on behalf of one
or separate  accounts,  Connecticut  General Life  Insurance  Company,  and Life
Insurance Company of North America (collectively, the "Noteholders").

                                   RECITALS

      A. The  issuer and the  Guarantor  have  entered  into that  certain  Note
Purchase Agreement dates as of October 15, 1995 with the Noteholders, as amended
pursuant to that certain First  Amendment to Note Purchase  Agreement and Waiver
dated as of April 1, 1996 (the "Note Purchase Agreement"), pursuant to which the
Issuer has heretofore  issued  $25,000,000 of its 7.39% Guaranteed  Senior Notes
due October 1, 2005 (the "Notes"),  and the Guarantor has heretofore  guaranteed
such Notes.

     B. The  Issuer,  the  Guarantor,  and the  Noteholders  now desire to amend
certain provisions of the Note Purchase Agreement as hereinafter set forth.

      NOW,  THEREFORE,  the  Issuer,  the  Guarantor,  and the  Noteholders,  in
consideration of good and valuable consideration, the receipt and sufficiency of
which are hereby acknowledged, do hereby agree as follows:

            1. The  definition  of "Debt"  in  Schedule  B of the Note  Purchase
       Agreement is hereby amended by adding the following new  subparagraph (f)
       thereto, to read as follows:

                  "and,    (f)   its    liabilities    under    the    Permitted
                  Sale-and-Leaseback Transaction."

            2. The  definition  of "Lease  Rentals"  in  schedule  B of the Note
      Purchase  Agreement is hereby  amended by deleting such  definition in its
      entirety, and substituting therefore the following new definition:

                  "Lease Rentals" means, with respect to any period,  the sum of
                  the rental and other  obligations  required  to be paid during
                  such period by the Company or any  Subsidiary  as lessee under
                  all leases of real or personal  property  (other than  Capital
                  Leases,  but including under the Permitted  Sale-and-Leaseback
                  Transaction),  excluding any amount required to be paid by the
                  lessee  (whether  or  not  therein  designated  as  rental  or
                  additional  rental)  on account of  maintenance  and  repairs,
                  insurance,   taxes,  assessments,   water  rates  and  similar
                  charges,  provided that, if at the date of determination,  any
                  such  rental  or  other  obligations  are  contingent  or  not
                  otherwise definitely  determinable by the terms of the related
                  lease, the





                  amount of such obligations (i) shall be assumed to be equal to
                  the  prorated  amount  of such  obligations  for  period of 12
                  consecutive calendar months immediately  preceding the date of
                  determination  or (ii) if the related  lease was not in effect
                  during such  preceding  12-month  period,  shall be the amount
                  estimated  by a Senior  Financial  Officer of the Company on a
                  reasonable basis and in good faith.

            3. The following new definition is hereby added to Schedule B of the
       Note Purchase Agreement immediately following the definition of "PBGC":

                  "Permitted Sale-and-Leaseback  Transaction" means that certain
                  Sale-and-Leaseback   Transaction   between  Banc  One  Leasing
                  Corporation as Lessor and the Company as Lessee covering up to
                  $15,000,000 of equipment  consisting of new 1998  Freightliner
                  Over the Road Tractors as described in that certain  letter of
                  the Company dated December 19, 1997, a copy of which letter is
                  attached hereto as Exhibit A.

            4.  Section  10.5  (Sale-and-Leaseback  Transactions)  of  the  Note
      Purchase  Agreement  is hereby  amended by  deleting  such  Section in its
      entirety and substituting therefor the following new Section 10.5:

                  "10.5. Sale-and-Leaseback  Transactions. The Company will not,
      and  will  not  permit  any  Restricted  Subsidiary  to,  enter  into  any
      Sale-and-Leaseback     Transactions     other    than    the     Permitted
      Sale-and-Leaseback Transaction."

             5. Except as specifically  modified by this Second  Amendment,  all
       other terms and conditions of the Note Purchase Agreement shall remain in
       full force and effect.

            6. All  covenants  and other  agreements  contained  in this  Second
      Amendment  by or on behalf of any of the parties  hereto bind and inure to
      the  benefit  of their  respective  successors  and  assigns  (including),
      without  limitation,  any  subsequent  Noteholder  of a note)  whether  so
      expressed or note. This Second  Amendment may be executed in any number of
      counterparts, each of which shall be an original but all of which together
      shall constitute one instrument.  Each counterpart may consist of a number
      of copies  thereof,  each signed by less than all, but together  signed by
      all, of the parties hereto.


                          (Signatures on Next Page)




      In Witness,  whereof, the parties hereto have caused this Second Amendment
to be executed  by their duly  authorized  representatives  as of the date first
above written.

Company:                                  Guarantor:

COVENANT TRANSPORT, INC.,                 COVENANT TRANSPORT, INC.,
A Tennessee corporation                   A Nevada corporation

By: /s/ Joey B. Hogan                     By: /s/ Joey B. Hogan
  Joey B. Hogan                            Joey B. Hogan
  Treasurer and Chief Financial Officer    Treasurer and Chief Financial Officer

CONNECTICUT GENERAL LIFE                  LIFE INSURANCE COMPANY OF
COMPANY                                   NORTH AMERICA

By: CIGNA Investments, Inc.               B: CIGNA Investments, Inc.

     By: /s/ Lawrence A Drake                  By: /s/ Lawrence A. Drake
      Name:  Lawrence A.Drake                  Name:   Lawrence A. Drake
      Title: Managing Director                 Title:  Managing Director

CONNECTICUT GENERAL LIFE *
INSURANCE COMPANY, on behalf
of one or more separate accounts

By: CIGNA Investments, Inc.

     By: /s/ Lawrence A. Drake
         Name:  Lawrence A. Drake
         Title: Managing Director


     *THIS  ENTITY  IS  EITHER  THE  REGISTERED  OWNER  OF  ONE OR  MORE  OF THE
      SECURITIES  PERTAINING HERETO OR IS A BENEFICIAL OWNER OF ONE OR MORE SUCH
      SECURITIES  OWNED  BY AND  REGISTERED  IN THE NAME OF A  NOMINEE  FOR THAT
      ENTITY