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NEW YORK (Reuters) - Brett Favre has started a record 289 consecutive games in the NFL but the Minnesota Vikings quarterback said on Wednesday he would consider sitting out a game or two because of a lingering elbow injury.

The 41-year-old grandfather has been hampered by tendinitis in his right elbow for several weeks and was frustrated after missing several throws in Monday's 29-20 loss to the New York Jets.

"It hasn't gotten any worse but it really hasn't got better," Favre said during his weekly news conference. "It's kind of a funny injury. It could flare up and get worse. I don't know if it's necessarily just going to go away.

"The most important thing with it is rest. I could sit out all week and play Sunday."

Asked if he had thought about sitting out a game or two as a precaution, Favre replied: "Sure. Any player would have to consider that going through that type of situation where I can (play) but will rest help? It would be a consideration.

"I won't have a full fledged practice today but I will be smart about it as the week progresses."

Favre extended his own NFL records against the Jets on Monday, surpassing the 70,000-yard mark in passing and notching his 500th career touchdown pass.

However, he also lost two fumbles and was annoyed after completing just 14 of 34 passes for 264 yards.

"There were some throws that blindfolded I felt like I could have made," Favre said. "I made some good throws but I missed with some ... and I don't miss them.

"That's what I don't want to happen. I don't make every throw but I would have made some of those throws. The zip and stuff is still there but the accuracy was affected."

Favre again sidestepped questions on an NFL investigation into allegations he sent a lewd text message to a female employee of the Jets when he was with the club two years ago.

When asked about the allegations, he said he was fully focused on helping the Vikings recover from a 1-3 start to the season.

(Editing by Steve Ginsburg)