I'm with ThisWayOut. With my current T, I started out doing every other week (partly due to cost, partly due to not feeling sure if I was ready to jump back into therapy.)

At first, it worked pretty well. I have (apparently) all kinds of screwed up attachment stuff, and would freak out at the thought of him being "too close" - so it gave me a little distance to process, think about sessions, and get myself organized for the next one.

But, after a couple months, as my trust grew, I found it was hard because so much stuff built up on my list of stuff to talk about. We hadn't really gotten through all my past issues, and when stuff from the present popped up - there didn't feel like there was enough time. I felt like the list of things I wanted to talk about was getting longer than I could ever get through.

So, now I'm at once a week, and it seems a bit more manageable - but I'm not at the point that you were talking about (re: super attached). I'm still kind of back and forth, not really sure what I'm doing.

That said, I agree that you could just give it a try. You really don't have anything to lose... especially if it's a new T. If it doesn't work out, I can't imagine a T telling you that they won't find a way to get you on the weekly schedule, though if you're concerned, you could mention it up front ("I'd like to start out every other week and see how things go. I may need to move to weekly in the future, would you be open to that?")

Good luck!