Coleman suffered the injury during the first week of training camp while running a route. He missed the first two preseason games while nursing the injury, as did Devonta Freeman, who was nursing a hamstring strain of his own.
Coleman and Freeman are battling for the starting job.
"At this point, it looks like Tevin is a little closer than Devonta, just from the week of practice," Quinn said following Thursday's practice. "I'm anxious for (Coleman) to get in. And I know he's anxious."
Quinn went on to say only a last-minute setback would keep Coleman from playing.
"I'm anticipating him being ready to rock," Quinn said.
Receiver Roddy White (elbow surgery), strong safety William Moore (shoulder), running back Antone Smith (hamstring), and linebacker Derek Akunne (foot) all were ruled out for the Dolphins after not practicing all week. Quinn also said cornerback Desmond Trufant is out with a shoulder injury despite practicing. Defensive tackle Ra'Shede Hageman's status is unclear coming off a concussion, but Hageman practiced again Thursday after being cleared to start the week.
Quinn previously announced that newly signed quarterback Rex Grossman will not play against Miami after officially joining the team Wednesday. Grossman, who got in extra work following practice, plans to play in the final preseason game next Thurday against Baltimore.