"We've got a tough month coming up, playing against teams who are expected to finish in the top four. So we're not taking anything for granted."
Everton's next three league games see them travel to Manchester City and Chelsea, either side of hosting local rivals Liverpool.
Vice-captain Jagielka believes the Blues squad is in good shape and was delighted with the team's contribution at the weekend, especially the players who made an impact from the bench.
"Denis Stracqualursi hasn't been here for long but we know what he gives us. He's a good honest lad and a handful, which we saw with the third goal," the England defender continued.
"Apostolos Vellios can nick a goal and it was a fantastic cross from Tony Hibbert and he was the right man at the right time. I'm delighted for him and Royston Drenthe getting their first goals for the club.
"It's nice to put a few goals in, rather than getting the odd one."
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