NEWS RELEASE
                                                         Cone Mills Corporation
                                                           Greensboro, NC 27415



                                                          For Immediate Release

CONE MILLS RECEIVES OFFER FROM WL ROSS & CO. TO PURCHASE SUBSTANTIALLY ALL OF
                   THE COMPANY'S ASSETS WITH THE INTENTION TO
   CONSOLIDATE AND RATIONALIZE DENIM MANUFACTURING IN THE WESTERN HEMISPHERE

               Offer Would be Consummated Pursuant to Section 363
                   of Chapter 11 of the U.S. Bankruptcy Code

     Proposed Transaction to Strengthen Cone Mills' Leadership in Denim and
           Enable it to Meet the Challenge of Low-Cost Asian Imports

This Transaction, Coupled with Expected DIP Financing, Will Allow the Company to
                           Conduct Business As Usual

       Necessary Strategic Response to Unfair Trade Practices Devastating
                             U.S. Textile Industry

         Greensboro, NC - September 16, 2003 -- Cone Mills Corporation
(NYSE:COE), the world's leading denim producer, today announced that it has
received an offer from WL Ross & Co. to purchase substantially all of the
assets of the Company. The transaction will enable Cone Mills to strengthen its
leadership in denim and improve its ability to compete in the global textile
marketplace. The transaction would require Cone Mills to file a voluntary
petition for relief under Chapter 11 with the U.S. Bankruptcy Court in the next
several days and is expected to be consummated pursuant to section 363 of
Chapter 11 of the U.S. Bankruptcy Code.

The proposed transaction would be subject to Board and Bankruptcy Court approval
and higher and better offers. The Company expects to complete the transaction
within 90 days.

Following  the proposed  transaction,  WL Ross & Co. plans to operate Cone Denim
and Burlington Industries' Mexican denim operation, which will become part of WL
Ross & Co.  following the  successful  close of its  acquisition  of Burlington,
expected in October.

Cone Mills expects to maintain a significant U.S. employee base, including a
substantial number of manufacturing jobs. Headquarters will remain in
Greensboro, N.C.

Company Expects to Conduct Business as Usual

Throughout the transaction, Cone Mills expects to conduct business as usual,
with no interruptions in its operations or delays in meeting commitments to its
customers, which include such well-known names as Levi Strauss, The Gap and V.F.
Corporation.

Cone Mills has received proposals from several major financial institutions and
expects to reach an agreement for debtor-in-possession (DIP) financing by the
end of this week, which would be used to fund operations prior to the completion
of the transaction. The DIP financing would be subject to the approval of Cone
Mills' current lending group.

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Reasons for Chapter 11 Filing

During the third quarter of 2003, the Company has experienced a continuing
decline in denim sales coupled with higher raw material costs, resulting in
reduced profit margins and cash flow. As a result of its deteriorating
liquidity, the Company failed to make its scheduled bond interest payment of
$4.1 million on September 15, 2003. The Company has a 30-day grace period before
it is considered in default on its bond indebtedness.

The  Company  expects to be in a position to  disclose  the full  details of the
proposed transaction with WL Ross & Co. in the next few days. It is not expected
that the proceeds of the proposed  transaction will be sufficient to satisfy the
Company's  secured  indebtedness.  As a result,  there is not expected to be any
recovery for the Company's shareholders.

Necessary Response to Industry-Wide Impact of Low-Cost Imports

John L. Bakane, Chief Executive Officer of Cone Mills, said "This transaction is
consistent with Cone Mills' operating strategy of migrating to lower-cost
manufacturing platforms and is intended to help ensure that Cone Mills continues
to play a key role in the consolidation and rationalization of denim
manufacturing in the Western Hemisphere. It is a necessary strategic response to
the devastating impact of low cost Chinese imports, as well as the economic
slowdown."

"Unsound trade policies are pummeling the U.S. textile industry. Since January
2002 alone, 50 U.S. textile plants have closed and 30,000 jobs have been lost.
And now we're under assault by a new surge of imported Vietnamese jeans made of
Chinese denim that's been sparked by the recently relaxed trade agreement with
Vietnam, which, in turn, has caused a severe imbalance in U.S. denim supply and
demand in the last four months. Making matters worse are the retail inventory
liquidations now under way and continued price deflation even in the face of
higher cotton costs. While we returned the Company to profitability in 2002, the
events of this year have been such that we simply cannot support our present
capital structure in the face of current market conditions."

About Cone Mills

Founded in 1891, Cone Mills Corporation, headquartered in Greensboro, NC, is the
world's largest producer of denim fabrics and one of the largest commission
printers of home furnishings fabrics in North America. Manufacturing facilities
are located in North Carolina and South Carolina, with a joint venture plant in
Coahuila Mexico.

                  This release includes forward-looking statements, as defined
         in the Private Securities Litigation Reform Act of 1995, reflecting
         management's current analysis and expectations, based on what
         management believes to be reasonable assumptions. These forward-looking
         statements include statements relating to our anticipated financial
         performance and business prospects. Statements preceded by, followed by
         or that include words such as "believe," "anticipate," "estimate,"
         "expect," "would," and other similar expressions are to be considered
         such forward-looking statements. Forward-looking statements may involve
         known and unknown risks, uncertainties and other factors, which may
         cause the actual results to differ materially from those projected,
         stated or implied, Accordingly, there can be no assurance that the
         Company will meet future results, performance or achievements expressed
         or implied by such forward-looking statements. This paragraph is
         included to provide safe harbor for forward-looking statements, which
         are not generally required to be publicly revised as circumstances
         change, and which the Company does not intend to update.
http://www.cone.com

Contacts:
Michael Gross                                                     Nyssa Tussing
212.484.7721                                                      212.484.7966
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