Rodgers-Cromartie was forced to leave Sunday's game against the Atlanta Falcons multiple times due to the injury, which he originally sustained the previous Thursday against the Washington Redksins.
The team called it an ankle injury on Sunday, but Coughlin wasn't as specific when discussing Rodgers-Cromartie on Monday.
"He thinks he can play with it," Coughlin said. "Pinpointing it is not something I'm not going to do. It starts with his ankle but I noticed he has had some issues way up high in the hip area also from time to time. I'm going to stick with the leg right now.
"He felt he could work through it on a couple of occasions. I think [trainer] Ronnie [Barnes] wanted to shut it down and take a look at whatever is going on there. Hopefully we can overcome it. [Rodgers-Cromartie] thinks he can play through it as he rehabs and feels better about it."
Rodgers-Cromartie underwent tests on his leg Monday, the results of which weren't immediately made available.
The seventh-year pro is in his first season with the Giants after signing a five-year contract with the team as a free agent this offseason. He has 15 tackles and one interception this season.
The Giants are also dealing with injury problems at linebacker. Jon Beason was out for the third straight week after re-aggravating a previous injury against the Cardinals in Week 2 and Spencer Paysinger injured his hamstring against the Falcons.
New York is 3-2 this season and plays at the Eagles this Sunday.
- Ben Estes