Patrick Sandusky, spokesperson for the US Olympic Committee, tells TMZ they would gladly update the name to Caitlyn. He says if she files a formal request, the Committee would review it,  and presto — bye bye Bruce, hello Caitlyn.

A rep for Caitlyn tells us she’s unclear if she’ll make the request.

She’s got time to think it over. There won’t be any physical honor for the H.O.F. inductees until the U.S. Olympic Museum opens in 2018.