Brighton boss Chris Hughton has ruled himself out of the running to succeed Martin O'Neill as Republic of Ireland manager.
But Dundalk manager Stephen Kenny remains firmly in the frame after the 47-year old admitted it would be the "ultimate honour" to manage the national side.
Asked ahead of his side's Premier League game at home to Leicester tomorrow whether he was interested in the Republic job, Hughton said: "No. What I am very interested in is the job that I am doing here.
"I have got a group of players who have worked very hard to get into this division, and certainly that is where all my thoughts and concentrations are."
Mick McCarthy is the early favourite to be handed a second spell in charge of the national side, but Kenny's name has also been mentioned, and he said: "I think managing your country is the ultimate honour.
"If you offered me the job of managing Real Madrid or Barcelona or Ireland, I would choose to manage Ireland because it's the greatest honour you can have as an Irishman."
The FAI is hoping to make a swift appointment, with the draw for the Euro 2020 finals in Dublin on December 2.
McCarthy, who has been out of work since leaving Ipswich in April, is believed to be keen on the role he relinquished after the 2002 World Cup and has the support of long-time Republic left-back Ian Harte.
Harte tweeted: "I would have Mick McCarthy all day long!!!
"For me he is brilliant at motivating players."