Moyes was understood to be losing the faith of various personnel at the club after defeat to Olympiakos in the Champions League and a thrashing at the hands of Liverpool.
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And with chances of a finish in the top four looking slim, Moyes is wasting no time in "building" for the next campaign.
"We are building already, with my thoughts and vision for next year," he told reporters. "In every game we have to start looking to that. We need to be in there competing for titles next year.
"That’s what this club has done and all the other clubs have had periods where they haven’t been competing for titles.
"There is an added importance if you win big games and it’s something we’ve not done often enough this season."
United next face local rivals and Premier League title contenders Manchester City at Old Trafford on Tuesday night.