Fayemi who is the Chairman of the Nigerian Governors Forum (NGF) stated this on Sunday while appearing on Channels Television Sunday Politics programme.
The former minister urged the service chiefs in the country to recommend their successors to President Buhari.
He said it is not about the sacking of the service chiefs but it is about “transitioning them out of their current responsibilities into retirement.”
Kayode Fayemi stated that some of the nation’s security chiefs may want to step aside but they wouldn’t want to be seen as jumping ship.
According to the Ekiti governor, the security chiefs are committed to ensuring that Nigeria gets rid of this insurgency.
He said: “If you have done something, the same thing for five years, and you have even gone beyond your retirement age, of course, once you are a service chief, you may argue that there is no retirement age but the military has protocols, the military has processes and from time to time, one of the real consideration is renewal of the leadership.
“My approach is for Mr President to ask them in their role as service chiefs who understand the military very well, who know their men very well, to even be the ones to suggest some of the best men that may step into their shoes.
“It’s not about sacking them; it’s about transitioning them out of their current responsibilities into retirement. A part of me even feels that there may be some of them that would rather exit now but they wouldn’t want to be seen as jumping ship if they have not been directed by Mr President.”