Am I wrong

A guy I’ve been talking to has been opening up to me telling me he’s just not feeling great that he feels unhappy.

I felt really bad for him.

I don’t know whether I would be overstepping if I were to message him a book recommendation?

I was going to text him and just say “hey, I don’t want to overstep, but apparently this book is good, I know you enjoy reading and maybe it might help a little?”

Do you think I should do that or forget it?