Monica Lewinsky's Strip Club Job Offer -- Assume The Position, We'll Provide Cigars

Monica Lewinsky just got an offer to handle big bills in the cigar biz ... at a famous strip club -- and it's a serious offer that pays six figures ... TMZ has learned.

We've obtained a letter written by the head honcho of SCORES ... offering Lewinsky a position at their Atlantic City club as a hostess in their Sports and Cigar Bar.

CEO Mark Yakow says he made the offer after reading a recent Vanity Fair article ... where Monica complained she can't get jobs because of her "history."

Yakow says the hostess gig pays $100K a year -- and does not require stripping ... but he's only giving her until Saturday to accept.