EDEN PRAIRIE, Minn. — Brett Favre’s career isn’t quite over yet.

The Minnesota Vikings have been eliminated from playoff contention, but they still need someone to play quarterback for their final three games. Interim coach Leslie Frazier said the 41-year-old Favre is his choice — and he may be back in time for Monday night’s game against Chicago.

Favre was feeling better Tuesday, according to Frazier, after his NFL-record streak of starting 297 straight regular-season games ended Monday in Minnesota’s loss to the Giants.

He is nursing a sprained throwing shoulder and a numb hand, but an ultrasound on Favre’s neck and shoulder revealed no nerve damage, Frazier said.

Frazier sounded more optimistic about Favre’s availability for the division-leading Bears than he did about the status of backup Tarvaris Jackson, who started in the 21-3 loss to the Giants.

Jackson left the game twice with an injury, the second time because of a turf toe problem that Frazier said has put his availability “in jeopardy” for this week.