Justin Bieber isn't giving up yet on his relationship with Selena Gomez!

In fact, the teen heartthrob has been texting Selena non-stop since their surprising split, and RadarOnline.com has exclusively learned the Baby singer is begging her for another chance.

"The problem in the first place is that Selena was a little bit of a jealous girlfriend and Justin wasn't really taking her feelings into regard," a source close to the stars told RadarOnline.

"Justin doesn't see texting other girls as cheating, but he's promised Selena he'll stop if she takes him back."

In fact, the insider says Justin is so keen on winning Selena back that he knows just what to say to her and if things progress in the direction they're going, she just might take him back."

"If either one of them slows down and they actually have the chance to spend time together again, they will end up back together."

The source also told RadarOnline.com that despite reports of Justin proposing to Selena, he never has and despite reports that Selena is jealous of Justin's career, she's not!

(Story Via: RadarOnline.com)