The Smashing Pumpkins star collaborated with Love on several tracks recently but has now told Rolling Stone that he doesn't want them to be released.
"[If she does release them] it would be a real big problem, because I haven't given my permission," he added.
Corgan continued: "I have no interest in supporting her in any way, shape or form. You can't throw enough things down the abyss with a person like that."
Lily Allen recently claimed that Love "needs help" after the pair clashed at the NME Awards and on Twitter.