The 'Just In Love' hitmaker is reportedly ''convinced'' he will win the 20-year-old model over.
A source said: ''Nothing is official between Joe and Gigi, but Joe is working overtime to get it done. He is convinced he will be Gigi's boyfriend in no time.
''She has options, but Joe is putting his best foot forward to make him the only option she is willing to accept.''
And her pals believe the only reason why she wouldn't go after the 25-year-old singer is because she's still getting over the heartbreak following her split from Cody Simpson.
The insider added to HollywoodLife.com: ''Friends of Gigi think if she doesn't choose Joe after the effort he has put forth, it means she is still hung up on Cody Simpson.''
Meanwhile, Joe's friends are believed to be worried he will have his heartbroken.
An insider said: ''Everyone tells him he's setting himself up for heartbreak, but he can't help himself when it comes to her.
''Gigi wants to show Cody what he's missing, and she knows that hooking up with Joe will absolutely get him riled up.''
Corgan took to Instagram to confirm rumours of new Pumpkins material, saying the first songs could arrive as early as May.