Vick had been too sore to practice after being injured during Sunday's 17-12 loss to the Washington Redskins when he was sandwiched between two defenders while diving toward the end zone.
"This is going to be one of those day-to-day, week-to-week (type of injuries)," Eagles coach Andy Reid told reporters. "We'll just see how it goes and how he feels along the way. He's sore."
Reid said he had already talked to the team's general manager about finding a backup quarterback, if necessary.
Kevin Kolb, the team's starting quarterback until he suffered a concussion in the opening week of the season, replaced Vick in Sunday's game.
Reid also said Eagles running back LeSean McCoy suffered a rib fracture during the game but could play in the team's October 10 game against San Francisco with additional padding.
(Writing by Frank Pingue in Toronto; Editing by Ian Ransom)