The News of the World says the former England boss, now director of football at Meadow Lane, wants the world-famous defender to join his growing ultra-ambitious League Two outfit.
A Meadow Lane source said: "Sol Campbell was the first big-name signing - but he won't be the last.
"In the next couple of weeks the club hopes to bring in four or five other top names, either on free transfers or on loan.
"Roberto Carlos is top of the list. There have already been talks and he wants big, big wages but that's OK - money is not an issue here."