TMZ Sports has obtained footage of Warren Sapp speaking with cops moments after his Feb. 2nd prostitution arrest in Arizona -- in which he says he told a talkative hooker to shut up and use her mouth for other things instead.
In the video, which was recorded by law enforcement, Warren explains his side of the story ... how he picked up two women in a Phoenix hotel bar and offered them money for sexual favors.
"I put the $600 dollars on the table, everybody got naked," Sapp explained.
At one point, Sapp says one of the escorts started talking ... so he told her, "Why don't you use your mouth on me, instead of using it?!"
During the video, Sapp says he was snapping photos and joking around with the women because ... as he put it ... "I'm silly like that sometimes."
At one point during the interview, Sapp realizes he's going to jail -- and has a bit of a mental breakdown.
Sapp says a dispute began when one of the women asked for a "tip" -- and he told both of the women to leave. Sapp says one of the women grabbed his cell phone and called hotel security.
Sapp says the woman then spit on him -- which angered the other escort ... and the two women began to argue.
Eventually, Sapp says the argument spilled into the hallway ... and he chased after them while naked to get his phone back.
Luckily, Sapp says the dead bolt kept the door from closing and he went back into the room.
Warren was charged with two counts of assault and one count of soliciting prostitution. Sapp denies ever laying a hand (aggressively) on either woman.
If convicted, he faces up to six months in jail.