The Blues captain has been linked with a move to Sunderland.
New manager Ronald Koeman during the press conference
The Blues defence is undergoing something of an overhaul this week after John Stones made a big-money move to Manchester City.
They have already signed Ashley Williams from Swansea City, while the Liverpool Echo reports they are confident of completing a deal for Sunderland defender Lamine Kone by the end of the week.
Everton's Phil Jagielka
Both of those are likely to be first choice under Ronald Koeman, meaning captain Jagielka may find himself on the periphery.
Indeed, former manager David Moyes is keen to take him to Sunderland, with the Daily Mail reporting that a bid has already been rejected.
But Koeman has moved to end any speculation, insisting that there is no way that the player will be allowed to leave.
“Phil Jagielka is the captain of the team,” the club's Twitter account quotes him saying.
“We don’t have too many centre-backs. We need four so there is no way he can leave the club.”
Everton manager Ronaldo Koeman
It will however, be interesting to see if Jagielka could push for a move away from the club this summer.
Should Kone arrive, he is likely to find himself as just a back-up option next season, a situation he may not be too keen on having been a Premier League regular for close to a decade.
Everton's Phil Jagielka applauds the fans after the game