Levy is control of the clubs transfer activity this summer and isn’t running a tight shift at White Hart Lane.
Redknapp knows he urgently needs a striker to freshen up his front line and Levy has told the Spurs boss to make it his top priority.
A deal for Emmanuel Adebayor is thought to be close with the Manchester City expected to move to North London before the transfer window closes.
A loan deal has been mooted which will cost Tottenham around £5 millon for the season.
The only stumbling block is how the Togolese international’s massive wages will be paid with Spurs unable to pay the entire sum.
It is thought City would be willing to contribute to paying some of his wage just to get him off the books at the Etihad Stadium.
Should the deal go through then Levy is expecting Redknapp to move fringe players on if he wants to boost his squad.
The Spurs boss’ interest in Joey Barton has cooled although Levy is willing to take the midfielder on a free.
Scott Parker remains Redknapp’s number one target but Levy isn’t willing to spend £7 million on the West Ham midfielder.