Please listen to the wise words here. They all come from direct experience.
I had a boyfriend like that, very short story, no kids, nothing really, yet 2 years out from that I am still recovering.
Please don't put the kid in danger. Verbena said what my therapist says, "what does he bring to the table?" now, I would say, confusion and tension.
Also anyone who starts recovery is advised to stay away from relationships at least a year. If he rushes, he is not following advice. He has to give you your space (recovering or not). It has been a long road for him already, it will be a while for him to come back to the real world, it won't happen overnight.
Hugs!