Can Therapy break you up?

I have suggested to my husband to go to couples therapy because I think we have communication issues. He doesn’t want to go but would go if that’s what I need. I asked why, he said we don’t fight very often and there’s no cause for it to go to counseling. He added that there’s a possibility it can cause a rift and break up. I never thought of that and I’ve never gone to therapy before. He has after a break up with an ex girlfriend for depression.

I must say he has improved with our communication but I think the way we argue isn’t mature or productive.