Rogers leads the team with 22 receptions catches for 243 yards and three touchdowns.
"He (Rogers) went up for a pass and came down on his shoulder," said Coach Steve Mariucci. "He got tangled with (cornerback) Dre' Bly and it was one of those things that happens in practice on occasion. It is very unfortunate for him. It looks like it is going to be a matter of weeks before he is going to be able to return."
Rogers, the second overall pick in the 2003 draft, is the latest player to be sidelined by injury for the Lions (1-3).
Running back James Stewart and linebacker Brian Williams suffered dislocated shoulders in the preseason finale at Buffalo, and cornerback Andre' Goodman incurred the same injury in a 24-14 loss to Minnesota on Sept. 21.