However, speculation about his future is bound to grow after the Scot, whose current deal expires in the summer, said he did not want "supporters to get too sick of seeing the same manager all the time".
Everton are arguably in their best position during Moyes' 10-and-a-half-year reign but he is keen to see how things develop before beginning contract negotiations. "No doubt I will be asked the question every week but I'm in no great hurry," said the Toffees boss.
"I just want the season to go on, see how we do and overall if we do well it will make things a lot easier. I want to see how we are progressing and also I don't want supporters to get too sick of seeing the same manager all the time.
"I am not (concerned) but I can understand maybe people will be. I can understand why at this time people would say it is quite close but all I can say is I've been here over 10 years now, we've worked really hard together with the club and we'll continue to do so.
"I have a great relationship with the chairman, we speak every day and when the time is right we will sit down and see what we are going to do. It might be we wait until later in the year before we sort things out."
Moyes' significant investment in players over the last 12 months is reaping rewards with his side fourth in the table heading into Saturday's match at struggling Reading.
Having brought in Nikica Jelavic and Darron Gibson in January the summer additions of Steven Naismith, Kevin Mirallas and Bryan Oviedo - plus re-signing Steven Pienaar from Tottenham - have catapulted the club into Champions League qualification contention.
But despite the ?12million sale of Jack Rodwell to Manchester City in August there will not be enough money to strengthen when the transfer window reopens. And with injuries starting to bite - Gibson will sit out his 10th successive match this weekend, Mirallas has a hamstring problem while Victor Anichebe and Tony Hibbert are doubts - that gives Moyes cause for concern.
"I don't think we'll strengthen in January," said the Toffees boss. "I don't think we'll be looking to do any business - not because we wouldn't want to but I just don't think we will have the resources to properly do it in January."