Cotchery originally played for new Rams offensive coordinator Brian Schottenheimer while with the New York Jets for six seasons.
The visit, which will take place either Tuesday or Wednesday, comes a week after the Rams signed free agent receiver Steve Smith.
In 13 games with the Steelers last season, Cotchery had 16 receptions for 237 yards and two touchdowns.
His two best career years came with the Jets in 2006 when he caught 82 passes for 961 yards and six touchdowns, and in 2007 when he caught 82 passes for 1,130 yards and two touchdowns.
He also has experience in the return game. In 54 attempts, Cotchery has 484 yards and one touchdown as a kick returner.
Cotchery has suffered several hamstring injuries throughout his career, including the early part of the 2011 season.
He also has been linked to a possible return back to the Jets.
Cotchery was drafted in in the 4th round, 108th overall, by the Jets in in 2004 out of North Carolina State. It will be interesting to see where he ends up for the upcoming season.