Started sleeping with someone new

I met someone who is a bachelor, but he has been seeing someone for the past two months everyday. He said they haven’t DTR, but after sleeping with him it seems as though he wants to coordinate a schedule where he will alternate days who he sleeps with. I told him I wouldn’t want to share someone. Seems like he wants to only sleep with this other person because it’s easy for him. Any idea if this relationship is worth negotiating?