The Miami Dolphins listed five players on their injury report Thursday, but only one did not practice.
Marshall hasn't practiced since late September. He played on Sept. 30 against the Arizona Cardinals, but has missed the last two games.
Marshall, in his first season in Miami, has recorded 17 tackles, five pass deflections and an interception in four games with the Dolphins.
Cornerback Nolan Carroll is expected to start in Marshall's place Sunday.
Defensive tackle Randy Starks returned to practice Thursday. He missed Wednesday's practice due to non-football reasons.
Safety Jimmy Wilson was limited in practice Thursday. Linebacker Koa Misi and running back Daniel Thomas both practiced fully.
Five members of the Jets missed practice Thursday.
On the defensive side of the ball, defensive tackle Kenrick Ellis (knee), safety LaRon Landry (heel) and linebacker Bart Scott (toe) did not practice for the Jets.
On offense, running backs Joe McKnight (ankle) and Bilal Powell (shoulder) both sat out.
Tight end Jeff Cumberland (wrist) and center Nick Mangold (ankle) were limited in practice Thursday.