We were strongly linked with the player in the winter transfer window and according to the Mirror, Fulham will be ready to let him go for £20 million if they fail to land promotion from the Championship.
The club are currently in third place seven points behind second placed Cardiff City and a further six behind near runaway leaders Wolves.
However, if it were to go completely pear-shaped for the Cottagers they would be in a strong position to organise a deal.
Their captain having signed a contract extension last summer which will keep him at Craven Cottage until 2021, with Fulham have the option for an additional year.
Cairney joins up with the Scotland squad this week ahead of internationals against Costa Rica and Hungary.