PaulB is absolutely correct wrt the risk to patients with compromised immune systems.

That said, I think anyone who has a cat that they love is going to be loved by that cat in return and the risk though real, is minimal. I firmly believe that in your case, as it was in mine, the benefits (documented) far outweigh the risks.

[Edit to add:] I did the same with my cat Waldo and credit him for my easy healing! Having him lay facing me on my chest, purring and pouring healing love into me simply was amazing in the way it elevated my spirits!

I'd say go for it, just as you are doing!