Redknapp feels Cole to Man Utd a done deal
The 28-year-old will not have his Chelsea contract renewed this summer and a number of clubs have been chasing his signature.
But while Redknapp wants Cole at White Hart Lane, he thinks the Red Devils may have already won the race to sign him.
"I've got a feeling that it might have been done (for Cole to join United)," he said.
"It wouldn't surprise me in the least. Joe's not wanted to speak to anybody and his people have been saying 'let's get the World Cup out of the way first'.
"But we'd be interested for sure. I like Joe."