Having finished fourth in two of the past three seasons, the 25-year-old is looking to make a top four place the "natural habitat" for the club.
"I like to think the top four will be our natural habitat as a club," Huddlestone told the Daily Mirror.
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The midfielder has recently returned to action after missing most of last season due to injury and Huddlestone, who has returned to the starting line-up in the absence of Mousa Dembele, is determined to win back his place in the side.
He added: "Basically I've lost nearly 18 months of my career to injury at a time when I should be coming into my prime.
"I had half-cemented a place in the team, we had finished fourth under Harry Redknapp and we were going well in the Champions League when I first picked up the ankle injury, and it was the start of a long struggle.
"Last year was a write-off and a nightmare, especially watching the lads do so well up until February, when they were in with a chance of the title, and then not being able to help out when results dipped a bit.
"Luckily, since we reported back for pre-season, I've been fully fit and I've enjoyed being involved with the boys again."