Redknapp confirmed his interest in Cavani last season when the Uruguayan was with Palermo.
The Mirror says Redknapp is particularly excited about Cavani who has been in brilliant form this term after a move to Napoli.
Cavani, who has hit 10 goals in 18 games in the Italian league this term and seven in Europe, has a 30 million Euro buy-out clause worth £24m.
He scored against Germany in the World Cup when Uruguay lost the third-place play-off.
His form has got giants Inter Milan interested with the player stating his desire to stay in Italy.