Tiger Woods -- Not Banging Super Hot Bikini Model ... Says Super Hot Bikini Model

Hell must be freezing over ... 'cause an extremely hot woman that has been connected to Tiger Woods tells TMZ Sports the two are actually NOT banging ... and get this, Tiger never even tried.

We spoke to Turkish bikini model Tugba Ercan, who has been linked to Woods ever since she posted a picture of the two hanging out at a World Poker Tour event last week.

Ercan says several websites ran with the story assuming that Tiger ... who just broke up with GF Lindsey Vonn ... was back up to his old birddoggin' ways.

"They made it seem like it was something it wasn't, it was really just a picture."

Ercan -- who once again, is SUPER HOT -- says that not only are her and Tiger totally not a thing, but that the notorious womanizer didn't even try anything ... and was a perfect gentleman.

"He was very nice and polite. One of the nicest people I ever met, the charity work that he does with the World Poker Tour for children is amazing and moving to me."

Good news? The extra eyes on Tugba have really been a shot in the arm to her modeling career ... leading to her being named S.I.'s "Lovely Lady Of The Day."

"I really would love to be the first Turkish model in the Swimsuit Issue. It's my dream."

It's now our dream too ... check out the pics below.