The Three Lions took a significant step towards reaching next year's tournament in Brazil with an emphatic victory at Wembley Stadium on Friday night.
Despite the big scoreline, Jagielka believes that England were full deserving of the result.
"I didn't think the four goals flattered us at all," the Everton defender told reporters. "We looked really good going forward.
"If we play as well as we did [against Montenegro] then we will cause Poland a lot of problems."
England play their final qualifier on Tuesday night when they host Poland.