McLeish only managed to bring in playmaker Michel from Sporting Gijon and midfielder Craig Gardner from Aston Villa during the January transfer window.
But Dunford predicts the former Scotland boss will be busy with ins and outs from St Andrew's when the window reopens in four months' time.
He said: "I expect it to be quite a busy summer. We will gear ourselves up for what I'm sure will be significant transfer movement in the summer.
"There are also eight or nine players likely to be leaving the club which means from a numerical point of view, we need new players of quality to supplement the ones we have got as well."
Source: PA
Source: PA