Birmingham have taken USA international and LA Galaxy striker Edson Buddle on trial.
McLeish is keen to bolster squad and is weighing up a move for the United States International, who is the current top scorer in MLS.
If Buddle impresses during his training stint he would win a move to St Andrews with McLeish admitting the striker could be available for a cut-price fee.
"We've got an American guy Edson Buddle in and he's trained with us this week and he's done fine," McLeish told the club's official website.
"I'm not sure when he goes back. I think he's here for next week as well because we'd like a longer look at him. He's been scoring goals in the MLS and had a good season, and he's available."
When asked about a possible move, McLeish added: "I'm not sure of the facts, but I know it's not going to cost us and arm and a leg if we do it."