The managerial position has been thrown into doubt in the last week after Gerard Houllier was forced to miss the rest of the season following a heart problem, with doubts over whether he will be able to return on a permanent basis.
Although there has been previous speculation over Moyes’s future at Goodison Park, the Scot has distanced himself with the rumours and insisted he is content at Everton.
"It is nothing to do with me," Moyes told reporters at a press conference before his side’s Premier League trip to Wigan this Saturday.
"I am at a great club and have got a great job. I don't know what to say."
Everton are a respectable seventh in the table after hitting impressive form of late, having spent much of the season in the bottom half.
Moyes said: "This is probably the position where most people would have put us. Most people would have said we'd be between fifth and eighth.
"I'm disappointed because I felt we could have gone one better than that.
"But there is still enough to play for, we have tried to emphasise to the players it is important we stay near the top.
"That is where we want to be and I have not seen any signs from the players to suggest they think any different."
Speaking ahead of this weekend’s trip to the DW Stadium, where Wigan will be more hungry than ever for victory as they battle to avoid the drop, Moyes said: "They are always pretty tough games against Wigan.
"Roberto [Martinez] always gets his team playing in a good footballing style, but I am sure at the moment winning is the key.
"We had a spell six or eight weeks ago when I felt we had to make sure we won.
"Luckily we did and when you get those wins it brings a bit of confidence back to the team and the squad and hopefully your performances can improve.
"Just over a week ago Wigan came out of the bottom three for the first time in a long while and they will know they are not far away from that."
Moyes will be lifted by the return of Spanish playmaker Mikel Arteta, who has been missing from the side for five games with a hamstring injury.
Australian Tim Cahill also looks set to feature this weekend, after coming on as a substitute against Manchester United at Old Trafford, as the midfielder’s long battle to return to full fitness following a foot injury continues.
Moyes said: "It is concerning because it is one of these things that may go tomorrow or it might still be there in three months' time.
"It is something that tends to just burn itself out and get better in time."
Toffees duo Leighton Baines and Leon Osman will both feature against Wigan, a side they know very well, with the former making his way through the ranks for the Latics before moving to Everton.
Moyes continued: "Leighton Baines has improved no end from when we took him.
"He was a good player at Wigan and that is what got us looking at him and signing him.
"It took him a while to settle but he has grown into it and got better.
"Now I think most people think if there was a World Cup this year, Leighton Baines would be a certainty to go.
"Ossie [Osman] has played really well and nearly carried us, certainly in the creativity department.
"He has got a couple of important goals for us and probably relished that, with Mikel, Tim and Felli [Marouane Fellaini] being out of the team and the loss of Steven Pienaar.
"A lot of the focus has gone onto Ossie and to be fair to him he has taken the mantle and done it really well."