Is it okay that my therapist records our sessions?

My new therapist asked me to sign a contract, and I thought it would be all the usual things, but was rather surprised to learn that he wanted to record every session. We had already had 2 sessions before this - I don't know whether or not these were recorded or not.

I asked if this was for reflection purposes. He seemed to say yes, and then said he rarely listens back to them anyway and they get deleted after 4 weeks.

Do you think this is okay or something to worry about?

I really don't want to change therapists again as my last therapist ended things very abruptly and I've found this very traumatic.