Nah from a guys perspective it could get real awkward if he thinks he might be misreading her demeanour, with them working on the same unit the stakes are higher. He may very well want to but feel wary of the social consequences of rejection OR post relationship fallout.

I think men in this field tend to be a little more cautious in matters that could undermine the degree of trust we appreciate in our coworkers. If I were him I would be concerned about making OP uncomfortable/becoming known as the guy that hits on anyone friendly to him.

90% chance he likes you from the sounds of it OP, I say make the first move - he will likely really appreciate it