Do you think the doctor will go out with me?

My dad needed surgery, I went with him to his consult, i did not notice the surgeon at all. We returned for his pre-op consult, and i felt someone staring at me while i was filling our paperwork, i looked and it was his surgeon looking and smiling the whole time. For that visit it was the most intense staring and smiling I had ever participated in. Dad had surgery and when I see the surgeon each morning we exchange pleasantries, I leave for coffee one morning and he ends up going too and we had a cup of coffee, at which time he asked me where I work what i do, where I went to school etc, etc., Anyway after the surgery which was a complete success, I send him flowers and he calls to say I did not have to yadayadaya. We discussed the holidays and stuff then I ask him if we can go out, he says, "absolutely I think it would be great fun, but we have to wait until i am finished treating your dad," I say fine. On the next visit its the same only after I go into his office he writes down his cell number.

I am certain he is interested, but what do you think? Do you think I should call him when treatment ends in June, or should I wait for him to call me? I am an attorney, so I am well aware of the ethical improprieties when it comes to this stuff, however, I would have liked for him to call me in between visits, but maybe that's too much.