The 27-year old Scottish right-back is yet to feature for the West Midlands club so far this season after making close to 30 appearances under Alex McLeish last term and Lambert says he can go out if any clubs are interested.
"There could be a chance of him going out on loan," Lambert told reporters.
"I've told him that if there is something there then he can look at it. I've always been honest with him.
"I think that is the best way of being honest with people. He knows the situation."