The FAI believe that Martin O'Neill will stay on as Republic of Ireland manager despite being one of the favourites to take over the vacant position at Everton.
O'Neill and Watford boss Marco Silva are both believed to be in the running to succeed Ronald Koeman.
However, following talks on Friday, the FAI are confident that the Derry man will sign a new contract that was agreed in principle in October, before Ireland's World Cup campaign ended in a play-off defeat to Denmark.
"The contract is agreed and it is just a question of signing it. As of now, there is no reason to believe that he won't," FAI honorary treasurer Eddie Murray told The Sunday Times.
Everton's search for a new manager entered its sixth week today after the team suffered two heavy defeats in four days and former players expressed anger at a club apparently in free fall.
The Merseysiders are one of only seven sides never to be relegated from the Premier League in its 25-year history and have competed in England's top flight for a record 114 seasons.
But Sunday's abject 4-1 defeat at Southampton means Everton have conceded 28 goals in their first 13 league matches - their worst start since 1958-59. They were also thumped 5-1 at home by Atalanta in the Europa League on Thursday.
On Wednesday, they host West Ham United, managed by former Everton boss David Moyes, with caretaker manager David Unsworth calling for supporters to rally round his under-performing players.
"We're in a tough moment and we're desperate to get back to some home comforts and play in front of our home fans because I've never known a team that needs their fans more than our team does at the moment," said Unsworth, who says he wants to be permanent successor to Ronald Koeman, who was sacked five weeks ago.
But even playing at home does not bring relief as Everton, who may drop into the relegation zone if they are beaten and have lost more games, five in all competitions, at Goodison Park than in the whole of last season.
No wonder former striker turned TV pundit Gary Lineker called the situation a "shambles" while Andy Hinchcliffe, a former Everton team mate of Unsworth, said on Sky Sports after Sunday's defeat: "There's no game plan going forward or defensively. I'm struggling to work out what Everton are looking to do with the team that they put out."
Everton narrowly escaped the drop in 1994 and 1998 but to be facing another relegation fight now, having lavished £150m rebuilding the squad under Koeman last summer, is a major surprise.
The club appear rudderless as Everton's majority shareholder, Farhad Moshiri, continues to scramble around for a new manager. He said an appointment was close last week but they have been knocked back by rivals Watford over an approach for manager Marco Silva and failed to reach agreement with former England boss Sam Allardyce.
Atletico Madrid manager Diego Simeone also ruled himself out leaving O'Neill as joint-favourite with Silva.
