I have trouble with eye contact in session. And generally. Like others have said, I don't think there are "supposed to"s in therapy, but your therapist might encourage you to make better eye contact as it is an important social cue. Personally I want my eye contact to be better. I want to act more confidently.

My last T probably saw my eyes about 5% of the time I was in session. The rest of the time I was staring at my hands, hands covering face, staring at my shoes, picking at lint on the couch, etc. I have a much better relationship with my new T, and I am venturing into improved eye contact with her. But it's all about comfort level I think!!