 McEniff would love to give the Donegal job to Anthony Molloy |
Anthony Molloy remains the front-runner to become the next Donegal football manager.
Molloy is understood to have told Donegal officials earlier this week that he didn't want to be considered for the role but he has now had a change of heart.
It is thought that county chairman and previous boss Brian McEniff convinced Molloy that he should remain as a candidate.
McEniff, who quit the managerial role after the recent All-Ireland Semi-Final defeat by Armagh, told BBC Sport on Tuesday that an appointment was "not imminent".
Reports in Donegal last week suggested that McEniff could yet be coaxed into remaining on in the position for another season.
However, McEniff denied that this was becoming an increasingly likelihood because of the absence of suitable candidates.
"I didn't speak to the journalist who ran the story so I don't know where he got this information from," said the county chairman.
"I can assure you that the prospect of me staying on is the furthest thing from my mind at the moment".
Molloy is believed to be McEniff's preferred choice as his successor while Michael Oliver McIntyre is also understood to be in contention.
If neither of those candidates can agree a deal with the Donegal board, it's possible that the ball could drop back into McEniff's court in a couple of weeks from now.
McEniff told the BBC that there was unlikely to be any announcement of a manager before the next county board meeting on 6 October.
The county chairman has taken charge of the selection committee whose task is to find a manager.
Meanwhile, Graham Geraghty has lodged an appeal to the Leinster Council against the 48-week ban handed out recently by the Meath county board.
The former Allstar was given the suspension after being found to have verbally and physically abused a referee in a recent club game.