Burley was not originally mooted to be on the shortlist, but it has been confirmed today by the BBC that he is one of five, including Billy Davies, Graeme Souness, Tommy Burns and Mark McGhee.
Burley has already expressed interest in the position and has a good reputation north of the border after a spectacular spell at Hearts where he briefly threatened the dominance of the Old Firm, until problems behind the scenes made for an equally spectacular exit.
It would certainly be a challenge after the success of Walter Smith and Alex McLeish in so nearly getting Scotland to quality in a group containing the previous world cup finalists France and Italy.
Burley is not said to be favourite for the post, but having had to sell his best three players, as he keeps reminding us, and with supporters divided over his future regardless of the Scotland job, you can understand his desire to manage his country.
The real concern is that Burley's heart may not quite be in it at the moment. After a brief improvement the team have once again returned to the inconsistency that has dogged us all season with no real signs of improvement.
The charge is that Burley is not getting the best out of a relatively talented squad that is almost exclusively of his own making and hasn't helped his cause with some puzzling tinkering, perhaps best summed up by the complete midfield reshuffle that nearly cost us the game when he introduced Viafara against Scunthorpe.
Burley may well feel that with a couple of decent loans from the Premiership he can unlock the potential of the squad and with our recent history of managerial musical chairs you can understand the desire of many to give him time with the play-off positions still in theory reachable.
The real point of interest will be the club's response to the approach from the SFA and the manager's willingness to talk to them, indications of just how both parties see the future of the current relationship.