I agree with the others that the bf is being unrealistic in his expectation that you two somehow magically learn to "un-love" one another. How does one do that? While I can prevent myself from acting on the love - and maybe that is what he wants - I have never been able to simply stop loving someone. Poof!
However, I hope that he does not believe that because you two may choose not to act on your love that he believes it is gone. He would be fooling himself. Maybe he has asked this to insure that he primary, and would see your gf's acceptance of his terms as acknowledgement of his supreme position.
My suggestion would be to try to figure out what he thinks he gains by limiting his gf's relationship with you. Does he even know?