The Blues are in the market for defensive reinforcements after seeing Curtis Davies complete a switch to Premier League new boys Hull City.
Burn has been identified as a top target, with the 21-year-old having caught the eye during a season-long loan at Yeovil Town in 2012/13.
Birmingham boss Lee Clark has admitted that he has two loan deals in the pipeline for Premier League centre-halves, and Burn would appear to be one of those set for a switch to St Andrew's.
Clark told the Birmingham Mail: "I have agreed terms with two players and two Premier League clubs to take a right-sided centre-half and a left-sided centre-half on season-long loans.
"Those deals are subject to medicals when the lads get off holidays, as Premier League teams aren't due back for 10 days to two weeks.
"But I hope to have those completed next week because the agreements with the players and the clubs are in place.
"It's just down to them coming through the medicals. I have spoken to both players and I will be delighted to get them."