The Blues boss has said that Boyd, who he managed during his time at Rangers and at Scotland international level, would like to play for him again but that other clubs are also keen on his signature.
"We have spoken to Kris but that was a few weeks ago and it seems to have gone a little bit quiet," said McLeish.
"It is still ongoing. He is talking to other clubs. I said that a couple of weeks ago and that is still the case.
"I know Boyd would like to play for me again but it has got to be right for him and his family.
"We are working on a number of things now and I don't like discussing our business publicly."