Cornerback Morris Claiborne and safety Barry Church both left with hamstring injuries Sunday. Executive vice president Stephen Jones said Monday that Church's isn't serious, and he should be back this week.

But Jones was more pessimistic about Claiborne's injury. He said Claiborne could miss a couple of games, which would point toward Claiborne's return after the bye week in a Nov. 24 game at the Giants.

"Church, his injuries kept him out there a little bit at the end," Stephen Jones said on KRLD-FM 105.3. "I do think he can recover and get back for the Vikings. Claiborne, on the other hand, has a soft tissue injury there with his hamstring that is a real deal, and probably more than likely we're looking at him missing the next couple of weeks."

Claiborne has had a tough season. He dislocated his shoulder in the season opener against the Giants and has played with a harness. He lost his starting job to Orlando Scandrick, though the Cowboys have started several games in the nickel, including Sunday's at Detroit, with three cornerbacks in the starting lineup.