Redknapp has already had a £6m bid for West Ham striker Craig Bellamy turned down as he looks to bolster his squad's forward strength that includes only Darren Bent, Manchester United loanee Fraizer Campbell and Roman Pavlyuchenko, who is cup tied in Europe.
"Bent and Pavlyuchenko were £30m and that is a lot of money to spend on two strikers and then say they can't play together," added Redknapp.
"I'm left with that problem and whether they can, I don't know."
The Spurs manager also revealed he is interested in signing Middlesbrough winger Stewart Downing.
"I like Downing but I don't know whether Middlesbrough want to sell him," Redknapp said.
"If could find a wide-left player I would like to get one. That and a frontman would be the priority."
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