Saints currently sit third after victory over Fulham.
"I can’t see why not. If we continue improving every day in training and heading towards the game days we're making sure we’re focused in the right way I can’t see why we can’t go all the way," said Ward-Prowse.
"The way we trained in the week it was no surprise the game went the way it did. That was our game plan right from the start.
"We wanted right from the first whistle to put them to the sword and I think we did that right through the game."
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