According to veteran journalist Scottish Alan Nixon in The Sun the south west London club are determined to see off our attempts to grab to grab the midfielder.
Nixon points out that the Championship club have previous in resisting offers from Premier League outfits citing their resistance to Spurs when they showed big interest in in Ryan Sessegnon earlier in a previous window.
Cairney signed a contract extension just last summer until 2021 which also gives them a strong hand.
However, with so many injuries in other up front it may be that Moyes’ priorities in the last few days of the market will have changed anyway.
And with Fulham now in the play off zone on 48 points it seems unlikely they will consider bids for any of their squad and that Moyes will have to wait until the summer should he remain in charge at West Ham.