Absolutely she can thrive!
In fact, while he is in active addiction, this is probably a good thing, the further away he is the better.
Who knows what will happen in the future, maybe some day he will clean up his act and get sober/seek recovery and he can then have a relationship with her.
For now, no baby needs an addict in their life really, I can't see the benefit there. I may be missing something, seriously.
What's your take on what he could contribute?