The England international has missed the club's last four matches in all competitions, after he sustained a hamstring injury against Manchester United last month.
Without him, Everton have dropped further down the Premier League table and they sit 16th ahead of their clash with Brighton this weekend.
Everton have won just two games out of seven so far but Jagielka is confident they can turn their season around.
He told the club’s official website: "The injury is all good now. The Burnley game came a day or two too early, but with the international break, hopefully training will go well and I will be pushing for selection.
"We all try to help motivate each other off the pitch but when the game starts it is all about doing the right things.
"And, hopefully, once we get back from the international break we will put together a decent run and everyone will forget about the sticky start we have had."