The 18-year-old has been called up to the Scotland squad to face Denmark in a friendly international match at Hampden Park later this month.
This is the first time that Burke has been called up to the senior Scotland squad, having featured for the Under-19 side before.
Strachan has revealed his first impression of the hugely rated and the highly talented Forest youngster.
“Oliver is different,” Strachan told The Scottish Sun. “I think I went along to see Tony Watt for Charlton and Oliver played and I thought: ‘who is this fella? He’s a different’. He is very quick, very strong. He likes playing wide.”
Burke made his breakthrough into Forest’s first team towards the end of last year and has showcased his quality on many occasions.
The 18-year-old winger has scored two goals and created nine chances in 11 Championship appearances for Forest so far this season.
The youngster has a pass accuracy of 71% and a shot accuracy of 30%, and has won nine headers, nine dribbles and five tackles.
Forest are 14th in the Championship table at the moment with 45 points from 36 matches.