However, Strachan has refused to reveal the identity of his targets.
"We are trying our best to sign players at the moment. (Chief executive) Peter Lawwell is active at the moment, working very hard," said Strachan.
"From the players' point of view I'm hopeful the squad can be added to before the start of the season. If it doesn't I get on with it.
"It's unfair to talk about targets. Let's just say we are active in quite a few places."