Sunday's starter, Nick Foles, exited with a head injury late in the third quarter.
Kelly won't know Vick's status for Tuesday's practice until Vick is evaluated on Monday. Vick ran before Sunday's game, and Kelly said the veteran was "progressing."
"I don't have an exact number on him where he is," Kelly said. "But he's better than he was. Obviously, that is an injury that takes time. But I'm hopeful that Mike will be back, and we'll have to make a decision where we are based on his health [and] Nick's health."
Kelly said he trusts Vick to offer an honest assessment of his body. Vick did not believe he was ready to return Sunday to the point that he could be effective.
"Not a lot of guys will tell you exactly where they are," Kelly said. "I think Mike understands his body, and we're going to listen to him."
Home not sweet
The Eagles are 0-3 at home this year after losing six straight home games last season. Their last home victory was Sept. 30, 2012, against the Giants. In many of those games, fans have had more reasons to voice displeasure than to voice approval.
"They paid their hard-earned money to watch this team perform and do well," running back LeSean McCoy said. "We haven't done well at home at all, starting last season and continuing this year. We have to fix that."
Foles' head injury appeared to be the most serious injury the Eagles suffered on Sunday.
DeSean Jackson left the field briefly with an apparent ankle injury before returning. Cornerback Brandon Boykin also needed to come off because of an undisclosed injury before returning to the game. Kurt Coleman was set to enter the game in the nickel defense if Boykin was out.
Safety Earl Wolff left the game with a head injury, but he returned in the fourth quarter on special teams. Coleman filled in for Wolff on defense. Wolff recorded his first career interception at the end of the first half.
Defensive tackle Isaac Sopoaga had a shoulder injury but returned to the game.
Chung sits again
The only player to miss the game because of injury other than Vick was Patrick Chung, who sat for the third time this season with a shoulder injury. Wolff started in Chung's place.
Quarterback Matt Barkley, wide receiver B.J. Cunningham, and running back Matthew Tucker made their NFL debuts on Sunday.