The Toffees went a goal down to a Franco Di Santo strike before efforts from Phil Jagielka, Apostolos Vellios and Royston Drenthe turned it round for the hosts, but the Scot was unwilling to get overly excited, though he did admit that it was an important win for his side.
He said: "I’m not getting carried away. I don’t know when the word start stops and you say ‘hey, that’s the end of the season over’.
"We’ve got a couple of wins, we can play better, or, we have played better but it was an important game for us to win today because we have to make sure we get the wins and then see where we’ll go from there."
Vellios and Drenthe came off the bench to put Everton into the lead and wrap the game up respectively but Moyes was cautious in praising the duo.
When asked if he was pleased with the substitutions, he said: "If you judge the substitutions on goals I would’ve said yes but if you are judging them on performances then I would’ve said no.
"We ran out of ideas midway through the second half and we were looking for some solutions to cause Wigan some more problems."
Vellios got the crucial second goal with a fine header from Tony Hibbert's cross and Moyes praised the club's former scout for finding the young Greek.
He said: “I’ve got to give credit to Mick Doherty [now at Chelsea] who got me Seamus Coleman from Ireland for £60,000 and Tolos [Vellios] from a Second Division club in Greece, so I have to give him the credit. For me as a manager, if the scouts really think they’re worthwhile then we’ll bring them in.
“It’s a lot for us to then expect them boys to be Premier League players. There are very few that you can then turn out into that and I’ve given the two a bit of competition.
“I think the Greek boy’s got something, he’s got a lot to do and a lot to learn but he’s certainly got something.”
The Scot started with Tim Cahill and Leon Osman as his most advanced players, with Victor Anichebe out injured and and Jermaine Beckford having been sold to Leicester City during the transfer window but Moyes is aware that his side a short on the goalscoring front.
"We’re starting with Cahill and Osman so we still think they’ve got something to offer," he said.
"I thought in the first half Ossie [Osman] caused some problems positionally for them and Cahill had one or two bits.
"We know we’re short but when we were at one each, we had chances where we could’ve gone 2-1 up at that time when we had the opportunities but we didn’t because we don’t have someone at the moment who’s a 15, 20 goal a season forward."