Barack Obama & Bill Clinton

Triller Fight Club is bipartisan -- or it's trying like hell to be -- because we've learned the company's made Bill Clinton an offer it hopes he can't refuse to get on the mic to announce a fight later this year.

TMZ Sports is told Clinton's people have been sent the deal, but hasn't responded to Triller one way or another. The offer comes after Triller successfully landed ex-Prez Donald Trump to do commentary for Saturday's Evander Holyfield vs. Vitor Belfort fight.

Someone at Triller's got POTUS fever, obviously, because we're told they're also planning to offer an announcing gig to Barack Obama. The specifics of Clinton and Obama's potential deals aren't clear -- but if they mirror…