Contact between sessions is something individual with each T and possibly each client of the T. He's offered it to you because he means it. Is it clarification or reassurance that you need, do you think?

I tried several times to clarify what I could call my therapist about, and she never wanted to define that so she just said "....whatever comes to mind - anything". My guess is she doesn't want my grocery list so I have called in distress sometimes and it gave me the opportunity and experience of reaching out, asking for her to call back, and her being there consistently; it was important in building trust in the relationship.

But yeah (sorry!) talk more to your T about this.