Despite a defeat to Stoke on Sunday, Spurs sit in fourth place in the table currently, and many have been touting the White Hart Lane outfit with a bid for the title.
Levy has confirmed the team’s ambitious plans, and stated that he is not concerned after defeat at the Britannia Stadium.
“I hope we have a great season and that we can finish in the top four or, who knows, maybe even higher. We want first,” he told the London Evening Standard.
“I spoke to Harry and told him not to be too despondent, because if we win our game in hand against Everton, we could be only four points behind Manchester City.”
After transforming Spurs’ fortunes there have been rumours linking Redknapp with the England job once Fabio Capello steps down after Euro 2012, however Levy is confident that the club’s head coach will stay.
“Harry has 18 months left on his contract,” he continued.
“We have had a conversation that says as far as Harry is concerned, he is very happy here and that he doesn’t particularly want to consider England at the present time. We will worry about that situation if it arises in the summer.”
Meanwhile speculation has also been rife that Luka Modric and Gareth Bale are wanted by Chelsea and Barcelona respectively, but Levy concluded by insisting that neither would be leaving the club.
“We have a great squad with exceptional talent and none of the main players will be leaving in January,” he finished.
It has also been confirmed that the FA will be wary of Redknapp’s future behaviour following his comments regarding referee Chris Foy after the Stoke defeat, but the Spurs boss will not receive any disciplinary action for his outburst.
By Gareth McKnight