The Smashing Pumpkins star has been romantically linked to Simpson but admitted that he gets fed up with the constant rumours surrounding them.
He told Rolling Stone: "If I go, 'Oh, we're just friends', then it's like, 'Did they go out, did he dump her or she dump him, what happened?' It has nothing to do with any of that. Sometimes people just like being around each other, and good things come out of that."
Corgan added: "My goal in life is to love whoever I think is worth loving, and I think if people knew her like I knew her they would love her like I do. It's really simple."
Corgan recently compared the speculation about his relationship with Simpson to a "cartoon".