Redknapp revealed his interest in Croatia's Stipe Pletikosa earlier this week, having reportedly failed to land him last summer after the 31-year-old suffered a knee injury.
However, it has been suggested a fresh move for the Spartak Moscow player could be scuppered due to the uncertainty over the future of the Russian club's manager, Valery Karpin.
It has also been reported Spartak would favour a permanent transfer for Pletikosa, who has found himself frozen out there due to Russia's limit on foreign players.
Redknapp is looking to add to his goalkeeping pool of Heurelho Gomes and Carlo Cudicini, with youngster David Button heading out on loan. Cudicini has also only returned from a long spell on the sidelines following a motorcycle accident.
On the prospect of another keeper arriving at White Hart Lane this summer, Redknapp told Sky Sports News: "That's a possibility, we're looking to take a loan there.
"I've got Gomes and I've got Carlo, which is good, but the young lad David Button is going out on loan so I feel we need three keepers.
"Carlo is coming back from a bad accident so we don't want to leave ourselves short. We'll be looking to bring another keeper in to give us three goalkeepers."
Source: PA
Source: PA