He should cut it off if you ask him to. I had a simuliar situation. I was friends (platonic) with a female at work for 2 years. There was a lot of gossip at work about us and it caused some problems with my DW of 37 years. She was very upset and asked to to stop the communication/friendship. I was against stopping it but, in the end......my DW won. I still don't think I did anything wrong, although she sure did.

It wasn't worth the hassel and was beginning to cause bitterness. I'm the kind of person that is like "whatever". I didn't do anything wrong and she tries to make me think I did. This is still a problem 2 years later. I'm not going to give in and am holding firm....I didn't do anything wrong. The problem is that too many women think it is cheating or whatever if their man talks, laughs or enjoys another woman's company.
It wouldn't bother me if my DW had male friends. I live a double standard life. I trust her, she doesn't trust me. I'm ok with it. It's just her insecurity.