Vick, bothered by broken ribs, is one of four Eagles players and one of three key starters who could miss the interconference matchup against the AFC East front-runners at Lincoln Financial Field. The Eagles (4-6) are in must-win mode to stay in contention for a playoff spot.
King Dunlap (concussion) could also miss Sunday's game.
Vick said through the team's website Thursday that he was feeling "good" despite sitting out practice again. Vick, who is recovering from broken ribs, said he is "getting better."
Dominique Rodgers-Cromartie would start for Asomugha if the Pro Bowl cornerback can't play Sunday.
Asomugha, one of Philadelphia's celebrated free agency acquisitions, injured his left knee during practice Thursday and was taken off the field on a cart.
The Eagles had no comment on the extent of the injury and a team spokesman said Asomugha's status would be updated at some point Friday. Asomugha's knee has no structural damage, Comcast SportsNet Philadelphia reported later Thursday.
Asomugha was participating in a non-contact drill on the grass fields adjacent to the team's NovaCare Complex when he was hurt. The 30-year-old, a three-time Pro Bowl pick and four-time All-Pro selection, leads the Eagles (4-6) with three interceptions -- two in his last four games.
Information from The Associated Press was used in this report.