Thomas, the NFL's ninth all-time leading rusher with nearly 12,000 yards, will visit Miami next week.
"We're looking at several running backs, and he's one of them," Dolphins coach Dave Wannstedt said Friday.
The Dolphins think Thomas might fit perfectly in Miami as a backup to J.J. Johnson, who was plagued by injuries in his rookie season.
Thomas, 33, rushed for 1,620 yards and eight touchdowns in 20 career games against Miami. He gained more than 1,000 yards eight straight seasons beginning in his second year in 1989. He had his best seasons in the Super Bowl years of 1990-93 and holds NFL playoff records for games (20), touchdowns (21) and yards gained (2,114).
Thomas sustained a serious injury to his liver in the season opener last year. He played in five games and finished with 152 yards on 36 carries.
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