Last season, McLean made 39 appearances in the Scottish Premiership as the Dons finished in second place in the table, but it appears that his form has attracted interest from both sides of the border.
According to The Herald, Rangers have already made an approach for McLean, who has just one year remaining on his current contract.
However, the Daily Record has suggested that Championship outfit Birmingham are looking to give the 25-year-old the chance to move to England.
One potential stumbling block could be Aberdeen's reluctance to lose both McLean and Jonny Hayes - who has already joined Celtic - during this transfer window.
McLean has been at Pittodrie since 2015, when he ended a five-year stay with St Mirren.