"If the price is right and if Tony Adams [Portsmouth manager] and Peter Storrie [Portsmouth chief executive] want to sell him and it's what we consider at our valuation and theirs, then fine," said Redknapp on Wednesday.
"There are other options as well, I have a little list and if we don't get one we can move to another.
"[But] I don't think we'll be splashing vast amounts, the chairman asked who I'd want if we could get them. If we can end up with a couple then great."
Redknapp is especially keen to bolster his squad's forward strength during the transfer window as he only has 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 was 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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