Exhibit (a)(1)(M)


For further Information contact:


Lawrence Dennedy
MacKenzie Partners, Inc.
800-322-2885


             ROBERT E. LOW EXTENDS TENDER OFFER THROUGH JUNE 9, 2000
                     AND COMMENTS ON $8.05 BID BY JACK LILES

FOR RELEASE TUESDAY, MAY 30, 2000

         Springfield,  Mo. - Robert E. Low announced today that Low Acquisition,
Inc., a  corporation  wholly owned by Mr. Low, is extending its tender offer for
all of the  outstanding  shares of the common stock of KLLM Transport  Services,
Inc.  (Nasdaq:  KLLM) (and associated  preferred stock purchase rights) from the
prior  expiration  date of  midnight on Tuesday,  May 30,  2000,  to midnight on
Friday, June 9, 2000.  Accordingly,  the tender offer and withdrawal rights will
expire at 12 midnight,  New York City time, on Friday,  June 9, 2000, unless Low
Acquisition, Inc. further extends the tender offer.

         According to  the  Depositary,  as of  the close of business on Friday,
May 26,  2000,  there were 76,339  shares of KLLM common  stock (and  associated
preferred  stock  purchase  rights)  tendered and not withdrawn  pursuant to the
tender offer.

         Mr. Low stated, "I was disappointed to learn that the Special Committee
of the KLLM Board had accepted a bid of $8.05 per share  submitted only 24 hours
earlier by a group headed by Jack Liles, the current chief executive  officer of
KLLM.  Based on my review thus far of certain new information  provided to me in
connection with my bid submitted to the Special Committee, I am confident that I
would be in a position  to offer a per share price for all of the KLLM shares in
excess of the price  offered  by the  Liles/Ebbers  group  and  accepted  by the
Special  Committee.  Under  these  circumstances,  I do not see  how the  recent
actions taken by the Special  Committee can be in the best interests of the KLLM
stockholders."

                                 #   #   #

         This news release is for information  purposes only and is not an offer
to buy or the  solicitation  of an offer to sell any shares of KLLM common stock
and is not a  solicitation  of a proxy or written  consents.  If, at some future
date, a new consent solicitation is commenced by Mr. Low and/or any affiliate of
Mr. Low, a consent  statement  will be filed with the  Securities  and  Exchange
Commission,  which statement would contain important  information that should be
read carefully by security  holders of KLLM.  Security  holders would be able to
obtain at no charge a consent  statement and related  materials when they become
available on the Securities and Exchange Commission's website at www.sec.gov. In
addition, any definitive consent solicitation statement, form of consent and any
related documents would be mailed to stockholders of KLLM.