Redknapp said: "Taribo has come over and we've had a chat with him. A deal is a possibility.
"With Arjan De Zeeuw suspended next week against Walsall, we're going to be down to just two defenders.
"We'll be in trouble if we don't get someone in for that game."
West has not played since the World Cup and recently had a trial with Kevin Keegan's Manchester City - Keegan turned down the chance to sign the defender claiming he wasn't fit enough to play Premiership football.