In part, it keeps getting asked because while accumulating 16 Big East titles, seven national championships, and an astounding .858 winning percentage in 26 seasons at this school in remote and rocky New England, Auriemma has never really said no.
"I think anybody who's happy with and has been pretty successful at whatever it is they're doing, when presented with a different kind of challenge, would always say, 'Yeah. I'd be intrigued to find out how that would work,' " he said last week. "But at this stage of my life, I'm pretty happy and pretty comfortable doing what I'm doing."
Besides, men's college basketball has been transformed from the era when Wooden's Bruins dominated the game as thoroughly and regularly as Auriemma's have on the women's side.
Superstars who stay a year. Football-like budgets. Unscrupulous agents. Posses. The relentless scrutiny. Coaching instability.
Auriemma, 56, isn't all that impressed.
"The more men's games I see," he said, "the more I'm convinced I coach against better coaches every day than I see on TV sometimes.
"[The men's game] is not the be-all and end-all, for sure. I think there's great coaches at every level. Maybe down the road a different challenge will come up for me. Maybe not. But I really don't spend that much time thinking about it."
Last week, as he prepared his No. 1 Huskies (9-0) for Sunday's game against No. 11 Ohio State (8-1) and dealt with the virtually nonstop buzz about Wooden and The Streak, Auriemma sometimes seemed more concerned about his hometown's baseball team than either of those subjects - or his future.