It's a big idea to consider. He may have the qualifications, but he'd have to be ready to adopt a child. We can't foist Gavroche upon him if he's unwilling, of course, and it's slightly unorthodox to meet someone and then a day later ask if he's willing to adopt a kid.

Still...

I don't see a problem in him adopting Gavroche. Especially now since he seems to be estranged from the Inspector.