He shouldn't have to be told (again) to end things with her (completely) in order for you to seriously reconsider reconciliation. In fact, him ending things with her should have nothing to do with your decision to take him back.
My h did something similar. I didn't consider taking him back till I knew things were over. Even then it has taken many months to get where I am now. I still backslide adn I still have trouble trusting but I am proud to say I had to think hard last night what her name was!
** Purple
As soon as you trust yourself you will know how to live. Goethe