The Fulham and Norwich linked talent is on the verge of his first international call up, according to the Scottish Daily Mail.
Jones, who scored his first goal of the campaign in Killie's 1-1 draw at Aberdeen on Saturday, moved to Rugby Park in 2016 from hometown team, Middlesbrough.
New Fulham recruit Rui Fonte
The 22-year-old hit form towards the end of last season, finding the net three times in his final seven appearances - and a return south of the border could be on the cards with Fulham and Norwich credited with interest.
Neither club are particularly short of wingers, however, with Fulham adding Rui Fonte, Yohan Mollo, Sheyi Ojo and Jordan Graham to an already congested pool, and Norwich doing likewise with Marley Watkins.
Northern Ireland manager Michael O'Neill
Jones, who also had spells on loan at Hartlepool United and Cambridge United, is being earmarked for a call up to Michael O'Neill's Northern Ireland squad, according to the Scottish Daily Mail.
Would Jones be a good signing for Fulham / Norwich City?