With your H saying he knows he's coming home but brings up you not wanting to stop seeing "OM"..........sounds to me like this....
He SAYS he is coming home and yet has not done that. Actions speak louder than words....he obviously doesn't want you seeing other people.
It is a tough call on what you should do. I try to make it light and joking when my "OM" is brought up. I like to keep H wondering and thinking and for me it works. That is why he only gets tid bits of info from me. I also don't want H thinking I am just going to lay down and wait.
I know Puppy could better help you with this. Don't do or so anything rash right now.