Cavern club managers said they had spoken to Sir Paul's company MPL and were not planning to do anything to mark the day.
Bill Heckle, of Cavern City Tours, said: "Paul is so down, and we feel it would be inappropriate to do something at this very difficult time forhim. No doubt when he turns 65 we will."
There is no official news on how Sir Paul will spend his big day on Sunday - which is also Father's Day.
James Paul McCartney was born at Walton hospital on June 18, 1942.
