Shaw said that while it is “unbelievably flattering” and “cool” to have his name come up, he has not been contacted and “I have no desires to pursue another job.”
Shaw has guided Stanford to a 34-6 record and three Bowl Championship Series games in three seasons.
The Cardinal plays Michigan State on Wednesday in the 100th Rose Bowl.
“I have not and don't plan on interviewing with anybody,” Shaw said. “I think it's really nice that my name gets batted around and that's great, and part of it is because I do have nine years of NFL experience, so it seems like an easy transition for some people.
“But honestly, I'm looking forward to playing this game and getting into the off season and starting to put together another winning season next year.”