With a deal for Charles N'Zogbia almost done, McLeish conceded the Frenchman's arrival will probably be the last before the end of the summer window.
"You can never say never but at the moment if we get N'Zogbia, which is looking good, then it's unlikely we will do anything unless there's more trading with the players we already have in the squad," he said.
"At the moment we don't plan to do any more business, I believe we've got some great young players and we've got one or two sleepers in there that could emerge.
"I know Ashley Young's boots are big ones to fill but there are one or two players that could emerge as a result of Ashley leaving the club."
Club owner Randy Lerner has one eye on UEFA's Financial Fair Play regulations, which will be implemented based on clubs' financial results from the upcoming season and the 2012-13 campaign.
And McLeish acknowledged: "We're watching the wages don't spiral out of control. Even bringing in free transfers, everybody thinks they don't cost you anything but they could be 50-60 grand a week in wages and it just escalates the wage bill out of all proportion.
"Randy Lerner has already stated that he wants to keep it tighter and work within a means and that's normal, especially with 2013 coming up, and I believe a lot of clubs will follow suit.
"We have a good squad, I have to pay respect to the lads that are already there, they're on big wages and I can't just discard them."
Darren Bent scored the winner three minutes into the second half at Hong Kong Stadium with a trademark finish as he escaped the Rovers defence to convert Barry Bannan's cross.
Source: PA
Source: PA