Brothel to Warren Sapp -- Next One's On Us ...

Warren Sapp is being offered a helping hand ... or orifice ... from a Nevada brothel that says the next time Warren has a hankerin' for ass, he should get it legally ... first one's on them.

We broke the story ... Sapp was arrested in Phoenix Monday morning after allegedly getting into an altercation with two escorts over money ... and then assaulting them. For the record, Sapp denies the assault.

But a rep for Sheri's Ranch in Pahrump, Nevada tells us ... cash won't be an issue if the NFL Hall of Famer wants to stop by -- because they're going to comp him one free sack session.

A rep for Sheri's tells TMZ Sports ... "Sapp’s arrest brings to light something that the courtesans and staff of Sheri’s Ranch have known for quite some time: the professional sports world’s desire for prostitution is massive."

"With this in mind, we want to offer Sapp a friendly visit to Sheri’s Ranch, with many benefits which include absolutely no risk of STD’s (no customer of Sheri’s Ranch has ever contracted an STD or HIV as a result of an encounter with one of our courtesans), the ability to keep his job and his Hall of Fame reputation, and enjoy quality time in a place where, since these brothels are legal, there is a 0% chance of getting busted by law enforcement."