"We are trying to do a deal to keep him," Ipswich boss Mick McCarthy told BBC Radio Suffolk.
"I've spoken to DJ and effectively I've offered him a permanent deal."
He added: "But it's not only him. It's about agreeing the terms and conditions with QPR. I think we're capable of getting a deal."
"He'll go back there and then we'll see what happens after that," said McCarthy.
"I've spoken to Harry but DJ will go back there first.
"This will be his last game because whether we'd got permission to play him in the FA Cup or not I wasn't going to play him.
"I think Harry in his position will justifiably want to have a look at him."