The Blues boss has been linked with numerous players since, and before, the transfer window opened at the beginning of the month and the two aforementioned players had been mentioned as potential targets.
"As regards Aiden McGeady, we made an enquiry but we were told he is not for sale. The situation won't change until someone says he is up for sale," McLeish has said.
"Is there any movement with the Babel situation? No, we've been told he is not for sale."
The latest player to be linked with a possible move to Blues is Sunderland striker Kenwyne Jones but McLeish would not confirm or deny whether Blues had made an offer for the Trinidad & Tobago striker.
"We've made enquiries about a lot of people," the Blues boss added.
"I don't want to confirm or deny a bid has gone in (for Kenwyne Jones).
"There is a lot of transfer speculation now and it is not something I like to talk about when nothing has been done.
"We have made enquiries for several players. I am not going to confirm or deny any names."