Hugh Culverhouse, the club's owner, reportedly offered Parcells a five-year deal worth $6.5 million to leave the broadcast booth and return to the sideline, where he led the New York Giants to two Super Bowl victories before resigning after the 1991 Super Bowl.
Before Williamson was fired, Parcells denied meeting with Culverhouse and that he was offered the job. Parcells was not available for comment Friday.
Culverhouse said he doesn't have a timetable for naming a successor, but reportedly has given Parcells a deadline of this weekend to accept or reject an offer.
Williamson, 50, replaced Ray Perkins in December, 1990, and won only four of 19 games before Culverhouse gave up on him. Tampa Bay finished 3-13 for its ninth consecutive losing season.
"He operated under adverse conditions this past season with the extreme handicap of 23 new players," said Culverhouse, who made an unsuccessful bid to hire Bill Walsh to replace Williamson last winter.
"However our won-loss record was not satisfactory. So after a great deal of thought, I have decided to go with a new head coach and staff in 1992."
While Parcells, a football analyst at NBC, is also a candidate for the coaching job at Green Bay, the Orlando Sentinel reported Friday that Culverhouse and Parcells have successfully negotiated most of the key components on a five-year contract that would give Parcells control of football operations.
The offer is said be worth about $1.3 million annually and include an unlimited budget to acquire players. The Sentinel quoted unidentified sources. Culverhouse had no comment on the report.
Coaching changes during or after the 1991 NFL season.
TEAM REC. COACH HOW MADE Indianapolis 0-5* Ron Meyer Fired Cincinnati 3-13 Sam Wyche Dismissed Green Bay 4-12 Lindy Infante Fired Rams 3-13 John Robinson Resigned Minnesota 8-8 Jerry Burns Retired Pittsburgh 7-9 Chuck Noll Retired San Diego 4-12 Dan Henning Fired Seattle 7-9 Chuck Knox Resigned Tampa Bay 3-13 R. Williamson Fired
*--Indianapolis went 1-10 under Rick Venturi after Ron Meyer was fired.