Talks between the two clubs for what is expected to be a permanent transfer remain ongoing.
However, with the 27-year-old having struggled for game time at Tynecastle it is unlikely that Hearts will stand in the way of a player who still has 12 months to run on his current deal.
The arrival of playmaker Jorge Grant from Peterborough and the form of youngster Connor Smith in pre-season is likely to have forced McEneff further down the pecking order at Hearts ahead of the new Premiership season.
Derry-born McEneff, who joined from Shamrock Rovers in January 2021, only managed six starts in a total of 13 league outings last season.
That was despite being a regular in the team at the end of the 2020/21 campaign as Robbie Neilson’s side wrapped up the Championship title.