He has already been linked with moves for keeper Ben Foster, defenders Roger Johnson and Scott Dann plus midfielder Barry Ferguson.
McLeish said: "I know there are many great Blues players there but the policy I've always maintained at any club I've ever been at is never to talk about any other club's players.
"I'm getting bombarded over the last couple of days with text messages from agents and clubs asking me about this player and that player, and would I want them.
"We are just going to assess things at the moment, look at the squad.
"If a Blues player was the right fit, I don't think it would put me off. If I thought a player could improve Aston Villa then why not?"