Kelly said it was possible Sproles could play in the team's next game, since the Eagles have a bye week in Week 7. Sproles had an MRI on Monday.
CSN Philly's Geoff Mosher previously reported Sproles would likely miss a few weeks after injuring his left knee in Sunday's 27-0 victory over the New York Giants. Sproles had seven carries for 39 yards and touchdown before the injury.
"I'll be alright," Sproles said after the game.
Sproles, 31, is in his first season with the Eagles after three seasons with the New Orleans Saints. He is sixth in the NFL with 697 (211 rushing, 198 receiving, 15 kickoff return yards, 280 punt return, -7 fumble return) all-purpose yards this season.
He has 2,432 rushing yards, 3,579 receiving yards and 47 touchdowns during his career with the Eagles, Saints and San Diego Chargers.
He missed the entire 2006 season with a broken ankle, but has otherwise only missed six games during his career.
Philadelphia improved to 5-1 with the win over New York on Sunday. The Eagles had 203 rushing yards against their division rivals.
The Eagles have a bye in Week 7 before playing the Arizona Cardinals on the road on Oct. 26.
- Paul Palladino and Scooby Axson