"I'd really like to see him bat in the top three," Law said.
"I'd hate to see him sitting around waiting to bat because he'd be a nervous wreck by the time he got in. He doesn't sit around and watch very well -- he's up and walking around because he just wants to be out there playing cricket.
Law revealed that the 25-year-old batsman, who is all set to become Australia's 441st Test player, rejected a contract extension in order to put pressure on himself to score runs.
"He's knocked back an extension with a contract just to say: 'I want to put myself under pressure to score runs', and that's refreshing in this day and age when players want their money up-front and before they actually achieve anything," Law said.
Just hours after being named in the Test squad, Burns was hit in the ribs while facing Dirk Nannes during a Queensland versus Sydney Thunders match.
He, however, scored 28 runs from 23 deliveries and dismissed any suggestion that the injury threatened to thwart his likely Test debut by telling the media: "I'm pretty sore, but I'll be right.