Dyke stated in his speech this week that the Three Lions should aim to reach the semi-finals of Euro 2020 and then go on to win the World Cup in Qatar two years later.
Ward-Prowse believes that England have enough young players to progress following the Under-21s' 1-0 win over Moldova in the 2015 European Under-21 qualifier yesterday.
"[Dyke's comments are] exciting," the Daily Echo quotes Ward-Prowse as saying. "It keeps us working hard on a daily basis to improve ourselves.
"Hopefully we can push on and I think it is a real possibility. You can see the quality that we have."
Meanwhile, the senior England team are preparing to take on Moldova in a World Cup qualifier this evening.