Exhibit 10.13(b)


                                             Burlington Industries, Inc.
                                             Executive Offices
                                             3330 West FriendlyAvenue
                                             Greensboro, North Carolina 27410
                                             (336) 379-2000


September 13, 2000



Mr. Abraham B. Stenberg

Dear Abe:

         This letter will confirm our  understanding of the  arrangements  under
which you are to provide  consulting  services for Burlington  Industries,  Inc.
("Burlington" or the "Company")  following your voluntary  retirement  effective
September 30, 2000. The terms of this arrangement are set out below.

         1. You will render  services as an  independent  private  consultant at
times and places deemed mutually  agreeable.  In your consulting  activities for
the  Company,  you will  report  to  George  W.  Henderson,  Chairman  and Chief
Executive Officer, or his designated representative.

         2. Your  services will be rendered as needed over the period of October
1, 2000 through December 31, 2000.

         3. It is  understood  that  during the period  October 1, 2000  through
December 31, 2000,  the Company will pay you the amount of $39,166.66  per month
for your  commitment to provide  consulting time to the Company as requested and
provided  by  mutual  agreement.  An  invoice  for  services  rendered  shall be
submitted by the 5th day of each month for the preceding month's services.

         4. This  Agreement  can be  terminated at any time during the period by
either  yourself or the Company  upon the  provision of thirty (30) days written
notice.  This Agreement may be extended beyond December 31, 2000 upon the mutual
agreement  and written  consent of the parties and upon such other written terms
and conditions as may be negotiated at that time.

         5. It is understood that the Company will reimburse you for air travel,
or any  other  reasonable  travel  expense  to and  from  the  location  of your
assignment,  including lodging,  meals,  travel,  and miscellaneous  expenses as
provided by the Burlington  expense  report policy.  All such expenses are to be
submitted  on a monthly  basis,  covered  by a  properly  completed  and  signed
Burlington  expense report form. You  acknowledge and agree that you will not be
covered  by  Burlington's  business  travel/accident   insurance  policies  when
traveling in performance of the services being rendered hereunder.

         6. During the period  hereof,  you shall remain free to undertake  both
professional and consulting  agreements with other parties,  provided,  however,
that you will not  become  employed  by  (including  self-employment)  or render
advisory or  consulting  services to any  competitor  (present or  potential) of
Burlington without our prior written consent and approval. If, with Burlington's
consent,  you  accept  full time  employment  by a person or entity  other  than
Burlington during the period hereof, this Agreement will automatically terminate
(except as provided in paragraph 17 hereof).

         7.   You   recognize   and   confirm   your   continuing    obligation,
notwithstanding  any provision of this  Agreement to the  contrary,  to maintain
confidential all information,  operations or situations treated by Burlington as
secret and/or  confidential  which became known to you during the course of your
employment  prior to the date of this  Agreement.  You recognize that in working
with us under this  Agreement it will be necessary to disclose to you and expose
you to information,  operations,  and situations which we treat as confidential.
You agree accordingly to keep these matters,  any trade secrets and the scope of
your  work  with us  entirely  secret  and  confidential  until  made  public by
Burlington.

         8. You  recognize  and confirm,  notwithstanding  any provision of this
Agreement to the contrary, that all improvements, inventions, designs and useful
ideas conceived or made by you during your past employment with Burlington which
relate  in any way to  Burlington's  business  shall be  disclosed  promptly  in
writing, drawing or other tangible form to Burlington and shall be its exclusive
property. All improvements, inventions, designs and useful ideas and other works
of authorship  conceived or made by you in connection  with your  performance of
services under this Agreement shall be disclosed promptly in writing, drawing or
other tangible form to Burlington and shall be its exclusive property.  All such
property described herein shall be assigned or conveyed to Burlington. You agree
further to execute all necessary  applications  and assignments  with respect to
such  property  which  we may  prepare  at our  own  expense.  There  will be no
additional  costs or charges to the Company for the  assignment or conveyance of
such rights or applications, if any, to the Company.

         9. On September 30, 2000, your present  employment with Burlington will
end. At this time,  you may apply for and receive  benefits under the Retirement
System, Employee's 401(k) Savings Plan, and any other benefits for which you are
eligible,  other than  severance  pay.  Payment will be made under the terms and
conditions of the plans.

         10. You acknowledge and agree that Burlington  Industries,  Inc. has no
obligation to pay you severance, including, without limitation, under Section XI
H 3.1 of the company  Manual,  and you hereby  waive any and all claims to same.
You also  acknowledge  and agree that  Burlington  has no  obligation to pay you
severance pay or any other  compensation  not expressly  provided for here in by
virtue of your performance of services under this Agreement.

         11. It is understood and agreed that the services to be rendered by you
under   this   Agreement   shall   be   rendered   by  you  as  an   independent
contractor/consultant  and you will not be  deemed  an  employee  of  Burlington
Industries, Inc. or any of its subsidiaries, and as such you will not be covered
under any of the Company's employee benefit programs, except those for which you
may have become eligible by virtue of your previous employment with Burlington.

         12. It is  expressly  understood  and agreed that  continuation  of the
payments and  arrangements  provided for is conditioned  upon your observance of
the obligations assumed hereinabove and the following terms and restrictions:

                (a)    You agree that you will  continue to evidence a spirit of
                       friendship   and  good  will  toward  the  Company,   its
                       subsidiaries and management; and

                (b)    You will not directly or indirectly seek to hire away any
                       employees of the Company, nor create any ill will between
                       the Company and any of its present or former employees or
                       customers.

         13. Burlington will deduct Social Security and income tax from payments
for services rendered under this Agreement.

         14.  You  hereby  represent  that,  to  your  knowledge,  there  are no
impediments  or  preexisting  obligations  which  could  prevent or impair  your
ability to perform the terms of this  Agreement.  In the event you are unable to
perform your obligations  hereunder by reason of such impediments or preexisting
obligations,  then Burlington shall be released from all obligations  under this
Agreement.

         15. This  integrated  document  (as it may be amended or extended  from
time to time pursuant to paragraph 4 herein)  constitutes  the entire  Agreement
herein,  and all matters  relating to your employment  and/or the termination of
your  employment  with the  Company;  and it  supersedes  and replaces all prior
negotiations and all agreements proposed or otherwise,  whether written or oral,
concerning all subject matters covered herein.

         16. Your obligations  under paragraphs 7, 8, 12 and 15 will survive the
expiration or termination of this Agreement.

         If the foregoing confirms our understanding,  would you please sign and
return to us the enclosed duplicate original of this letter.

                                   Sincerely,

                                           BURLINGTON INDUSTRIES, INC.



                                           By________________________________
                                              George W. Henderson, III
                                              Chairman and Chief
                                               Executive Officer
Confirmed and Agreed to:


______________________________
Abraham B. Stenberg

Date Signed___________________