"They've got Champions League football on their minds and we want to stay in seventh at the very least," Jagielka told BBC Radio Merseyside.
"There are points to play for. We've had a decent run against them especially away so it'll be interesting to see how we get on at home."
Bolton and Fulham are Everton's main challengers for for seventh place and are within three points of David Moyes' men in eighth and ninth respectively, with three games left to play.
The 28-year-old also praised goalkeeper Tim Howard after his heroics in last weeks 1-1 draw with Wigan at the DW Stadium.
We've three more games and hopefully in our next home game we can perform better and see what happens
Phil Jagielka
Jagielka says the United States international is in fine form ahead of the arrival of Roberto Mancini's team at Goodison Park.
"He's been playing well recently and he did at Old Trafford as well," the England defender continued.
"He was there when we needed him to stop the shots. The game was far too open for us and they had far too many shots.
"We've three more games and hopefully in our next home game we can perform better and see what happens," he added.
Source: BBC Sport
Source: BBC Sport