In his column for The Sun, Redknapp puts Ledley King ahead of the 36 year-old England veteran.
Redknapp wrote: "England do have problems in defence, with Rio Ferdinand's back injury a concern.
"But Campbell would not be the answer in my mind or, I feel, in Fabio Capello's. Besides, if England do need cover in defence for the World Cup, Ledley King is a better answer.
"Ledley is a fantastic footballer and versatile enough to play as a holding midfielder at a pinch.
"Just what an international team boss needs when he is juggling the demands of a tournament and the twists and turns of injuries and suspensions with a finite number of players.
"Ledley has to contend with ongoing knee problems but there is enough space between games at the World Cup for him to play a part. In my opinion, he would be a better choice to go as a covering defender."