The Scottish tactician comes out of contract in the summer but he is not fretting about tying up his future at the Goodison Park as he feels things will pan out naturally.
"No doubt I will be asked the question every week but I'm in no great hurry," said Moyes whose Toffees sit fourth on the Premier League table ahead of tomorrow's trip to Reading.
"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."