Even as the Cleveland Browns attempt to create a physical running game by suddenly jumping into the Ricky Williams sweepstakes, Butch Davis is trying to upgrade his passing game as well, and he will huddle Tuesday with someone who has plenty of experience in the latter.

ESPN.com has learned that future Hall of Fame wide receiver Cris Carter, who last week voided his deal with the Minnesota Vikings to become an unrestricted free agent, will be in Cleveland on Tuesday to meet with Browns coaches and club officials. The trip was set up Monday, the same day the Browns made a proposal aimed at acquiring Williams from New Orleans.

All three teams involved in the Williams auction -- the Saints, Browns and Miami Dolphins -- are expected to continue discussions Tuesday. Spurred by his desire to improve a dismal running game, and by the uninspiring performance at the combine workouts last weekend by some of the top tailback prospects in the draft this year, Davis offered New Orleans his first-round choice in 2002 and a conditional pick in 2003.

Carter, 36, is scheduled to meet with St. Louis coach Mike Martz on Wednesday and the Rams are viewed as the frontrunners to sign him. But the 15-year veteran is a Middleton, Ohio, native, played collegiately at Ohio State and might be intrigued by concluding his celebrated career much closer to home.

One team official said that, while the Browns aren't especially optimistic about luring Carter, the club has legitimate interest in him. Carter might also meet with the Miami Dolphins this week.

Cleveland has one of the youngest receiving corps in the league and Carter would add maturity and leadership and provide quarterback Tim Couch a safety net as well. The Browns have yet to sign a free agent, but are scheduled to meet with eight to 10 players this week.

Carter ranks second in league history in receptions, with 1,093, trailing just Jerry Rice. He has 13,833 receiving yards and 129 touchdown catches. His streak of eight consecutive seasons with 1,000 receiving yards was broken in 2001.

He started all 16 games last season and had 73 catches for 871 yards and six touchdowns. Carter has said he feels he can play at least two more seasons.

Len Pasquarelli is a senior writer at ESPN.com.