who should break no-contact first?

So in a gay, long distance relationship for six years. Every time he tried to end it in the past I was acting needy/desperate and he stayed. He ended it last week as he wants to see other people, and has been talking to someone else for about two months (whilst he was still with me and we were trying to deal with all the crap from the past) I think (therefore this is likely a rebound?). This time instead of marching up there, I sent him a message saying that I cannot be in his lift right now whilst he is seeing other people and not to contact me unless he is serious about us, but that I could not guarantee it would not be too late by then as I would not wait.

A week later (last thursday) I was weak and texted him saying that now we have both had time to cool off, maybe we should catch up in a month and just see where we are. He texted back straight away saying it sounded good to him and that we should catch up in June. I agreed.

I am not sure if I have ruined the whole no-contact thing as he now knows we wont talk for a month? Therefore I am torn as to whether to be the one to contact him after a month or to let him contact me first? I worry that if I contact him first it will make it seem as though I am doing all the chasing again (even after I work on myself for a month and I am different) but that if I do not initiate contact after a month, I will leave it too late and lose him.

What do you think?