The Celtic midfielder was pursued by Evans at Rotherham United in the summer.
The Daily Record is reporting in their print edition, as reported by the BBC's Scottish football gossip column, that the midfielder is on the radar of Leeds United boss Steve Evans.
Evans, a Celtic fan, tried to sign him in the summer for Rotherham United but the talented Scot decided to head to Parkhead from Hibernian instead.
Rotherham battled with Rangers and Celtic for his signature but Allan informed Evans he would not be keen on the move.
But the Leeds boss did state at the time that the midfielder wanted to work with him.
Speaking to the press in August 2015 he was quoted by the Daily Record as stating:
"I spoke to his representatives earlier today and they made it clear that Scott wanted to stay in Scotland and I don't care if you're Scott Allan or Messi, if you don't want to come to Rotherham United, we don't want you to come.
"It wasn't a case of Rotherham, he didn't want to come to England.
"We had a certain value, certainly in excess of £400,000 to bring the young man here, but if he didn't want to come here we have to move on and we will do.
"His representatives told me he'd have been really keen and I'm the sort of manager he would like to play for, but he wants to stay in Scotland."
So common sense would suggest that Evans would be able to lure him south of the border in order to join a team the size of Leeds United.
Although that depends if his views on a move to England have changed dramatically in the space of a year.
Allan's move to Glasgow has not been a success. He has featured just 16 times for the club since making the move and is yet to find the back of the net for Celtic.
Other Championship teams are said to be keen on the player.
It was reported by the Scottish Sun this week that Nottingham Forest, QPR and Derby County are also interested in snapping him up from the Scottish league leaders.
But Evans will hope their previous negotiations will help him take the Celtic star to Elland Road.