Reports have claimed that Moyes, whose contract is up at the end of the season, will leave Goodison Park in the summer following 11 years in charge of the club.
Despite insisting that he has no inside knowledge regarding his manager's future, Jagielka has expressed his determination to take all three points against rivals Liverpool just in case Moyes does depart.
"No-one knows what the manager is going to do at the end of the season, so if it is going to be his last game as Everton manager at Liverpool then it would be nice to send him off in style," the defender told the Liverpool Echo.
"It's not just about him it's about the squad as well, and we'd all love to go there and perform the way we have for most of the season and come out on the right side."
The Toffees will go into the encounter sixth in the Premier League table, one place above Liverpool.