The former non-league striker followed up his wonderful finish in Germany last week with another goal against Holland, putting the Three Lions 1-0 before the Dutch came back to win 2-1.
Vardy was impressive throughout with his willingness to run in behind the Dutch defence and his energy levels causing Manchester United’s Daley Blind in particular numerous problems.
Co-commentating on BBC Radio Five Live, Jenas feels Vardy is now all-but certain to feature this summer.
"It's what top strikers do - they crop up at the right place, at the right time and put the ball in the back of the net. It's what Jamie Vardy has done all season and it's great to see him do it at Wembley,” Jenas said.
"I think Vardy was already a banker to go to Euro 2016 and there's nothing that's gone on here to change that."
Vardy has been a revelation this season for Leicester City, topping the club’s scoring charts and firing the Foxes to an unexpected Premier League title challenge.
Having come from non-league football with Fleetwood Town, the 29-year-old’s rise to the top is an inspiration to lower league players up and down the country and proves anything is possible with hard work.
Harry Kane, Daniel Sturridge and Wayne Rooney are also heavy favourites to make Roy Hodgson’s 23-man squad though Arsenal ace Theo Walcott could find himself out of the picture as a result.