He said some of the defected governors cannot win ward elections in their respective states.
Jonathan spoke during the 65th National Executive Committee meeting of the ruling party in Abuja on Thursday.
The five governors are Rotimi Amaechi(Rivers); Aliyu Wamakko(Sokoto); Rabiu Kwakwanso (Kano); Murtala Nyako (Adamawa); and Abdulfatah Ahmed (Kwara).