NBA's Andre Drummond -- I'm Not Dating Famous Escort

Andre Drummond says he's 100% NOT dating famed escort Jenna Shea ... despite reports to the contrary ... telling TMZ Sports the rumors spiraled out of control after they posed for one innocent pic together.

FYI -- Shea is a legend in the escort world ... having been connected to all sorts of NBA stars, NFL stars and rappers ... and after pics surfaced with Drummond this week, there were rumblings they were hookin' up.

But the Detroit Pistons star tells TMZ Sports ... that's simply not the case -- "I'm not dating her. I was at a bowling alley and she took a picture with me and my friend."

Drummond says he knew who Shea was when she asked for the pic -- but says, "I just figured she wanted to take a picture."

For her part, Shea tells TMZ Sports Drummond is telling the truth -- adding, "He was a nice guy."