You are right.
If I was in your position, I would cool off the relationship with your current boyfriend before anything else. There have to be some time before you start any new relationship with this next friend.
You can’t switch boyfriends all of a sudden. You will hurt feeling and create a mess that your new relationship may have very bad start or worse yet never survives!
Reverse the roles and think, how you would feel?
You CAN wait!