Seven points from three games has lifted the Toffees two points clear of the bottom three with three games remaining and victory against Brentford on Sunday would be enough to keep them in the top division if Leeds lose to Brighton.
Lampard said: “It's been a big push on and off the pitch for the club and sustaining that is not easy and not normal.
“I don't expect the fans to wave us off at Finch Farm every week. That's an absolute pleasure that they're adding to it in this moment but for everybody we're investing a lot.
“To try to keep that momentum until the end of the season is a big deal. I think a little part of Watford was maybe a little bit of tiredness off the back of Leicester.
“The beauty was we could give the players the day off yesterday, see their families, rest up, and we have a couple of days into Brentford so hopefully we'll be fit and fresh for that.
“It's been a nice return considering the type of game – big opponents, going away from home, changing that story for us.
“But we're not done, we're not over the line. The minute you switch off or you stop doing the good things you were doing this game can punish you, so we have to make sure we approach the games with the exact same attitude and try to pick up the results that we need."
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