Vikings coach Kevin O'Connell said after the game Cook will be day to day.
"We'll run some tests and should have some time to hopefully get him turned over," O'Connell said. "... After we scored [their final touchdown], I asked him how he was doing, and he said, ''I'll be out there next week.' We'll do what's best for Dalvin and make sure that [the team's medical staff] make those decisions."
Cook suffered the injury with 48 seconds remaining in the third quarter after gaining 2 yards on a running play. He then fumbled and could be seen clutching his upper chest area while on the ground.
Vikings medical officials examined Cook in the blue medical tent, and while he remained on the sideline after emerging, the Vikings quickly ruled him out of the game.
Cook had been enjoying his best game of the season, having rushed for 96 yards and a touchdown on 17 carries. He was replaced by backup Alexander Mattison.
Cook has been one of the NFL's most productive running backs over the past five years, but injuries have slowed him at times. A torn ACL ended his rookie season after four games, and he has never played a full complement of games in a season.
Before Sunday, he had started slowly in O'Connell's new offensive scheme, gaining 107 yards on 26 carries in two games.