The winger has been expected to move on from Werder Bremen this summer and the Championship was mooted to be his destination.
Burke is still on track to return to English football in the second tier, but it is not yet fully clear who he will be joining.
It has been suggested that the winger’s destination could be Birmingham, though that is yet to be confirmed.
Burke had a spell on loan in the Championship in the second half of last season, spending time at Millwall.
The well travelled winger has played his football in Spain, Germany and Scotland, in addition to England.
Landing Burke would boost Birmingham’s attacking options just before the closure of the summer transfer window.
All eyes will be on whether the Scottish winger does complete a switch to St Andrew’s.
