The Toffees announced last week that Jagielka had signed a two-year contract extension that will keep him at Goodison Park until 2017.
And the 30-year-old England international, who joined Everton from Sheffield United in 2007, is aiming to stay with the Merseyside outfit for the remainder of his playing days.
Jagielka told evertontv: "I hope I do. I love being here and the club have obviously not minded extending my deal for another two years so I'm looking forward to the future.
"I really enjoy playing here. It wasn't a long discussion to extend my contract - I was delighted to do so.
"I'm proud to be part of this club and especially if we keep going forward the way we are at the moment, maybe there'll be another contract extension in a few years to come."
Everton are currently fifth in the Barclays Premier League table, with Jagielka having played in all 21 of their top-flight fixtures this term and captained the side in Phil Neville's absence.