The Reds won 12 of their last 14 games to eventually finish runners-up to Manchester City in the Premier League, and they won widespread plaudits for their attacking brand of football under manager Brendan Rodgers.
The Reds finished seventh in 2013, but missed out their first title in 24 years by two points last term en route to scoring 101 goals.
The Anfield side will be represented in Brazil by the likes of Jordan Henderson, Daniel Sturridge, Raheem Sterling, Glen Johnson and captain Steven Gerrard, while Jon Flanagan is on the seven-man replacement list.
Blues centre-back Jagielka wants to see the Three Lions to build up a similar winning streak when the South American tournament gets underway next month.
He told Sky Sports News: "Momentum is a fantastic thing in football, you seen Liverpool win 11 games on the spin and it nearly won them the title. So if we can emulate that somehow, get the good results going then anything is possible.
"The lads are really positive, they're really good a bunch of lads. We've got some quality players. People may be playing down our chances but as soon as that tournament kicks off and we hopefully win our first game and we go into the second game and the third game and hopefully we'll be talking about the fifth, sixth and seventh games."
The former Sheffield United man also backed Wayne Rooney and Daniel Sturridge to fire the Three Lions to victory in Brazil.
Liverpool forward Sturridge bagged 21 goals for the Reds last term, while Manchester United talisman Rooney scored 17, and Jagielka wants to see the pair develop their fledgeling partnership.
"Wayne's always been a massive player for us and Daniel's had a fantastic season at Liverpool," he added. "So I think Roy [Hodgson] will be looking to try and make sure those two work as a combination and if we can get those two in some good positions, and with them in goalscoring form, and other players around them carrying their club form into playing for England then you know, hopefully going forward it'll be very exciting."
England host Peru on Friday before flying to Miami for friendlies with Ecuador and Honduras on June 7 and 10 respectively, before eventually departing for their Rio de Janeiro base.