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 been of a mental breakdown.