Jenkins, who had seven sacks during the regular season, missed the previous four games because of the injury.
McCarthy said Jenkins had two good days of practice, then mainly rested during Friday's session.
"Hopeful he'll go," McCarthy said. "If he's ready, he'll go."
McCarthy said linebacker Frank Zombo (knee) and safety Atari Bigby (groin) have been ruled out of the game. Zombo will have missed four games, Bigby two.
"(Frank's) not quite ready," McCarthy said. "If I was to project out on Frank, I'd say next week."
McCarthy praised his team's preparation for the Eagles, adding that the week has "seemed long" because of the players' anticipation.
"Practice has been excellent this week," McCarthy said. "The padded work yesterday was very spirited."
The Associated Press contributed to this report.