He said he would only do so if some areas Kisii was laying claim to were also reverted to them.
Governors, he added, should step in to help stop further brawls over tax zones.
The governor said it was shameful for them to continue fighting yet demarcations were well known.
Last week, Nyaribari Masaba MP Mr Elijah Moindi called for dialogue as the way out of the border row.
Nyamira Governor John Nyagarama has said he is ready to pull out revenue officers from the contested sections of Keroka Town as part of efforts to end the dispute with Kisii County over demarcations.
Mr Nyagarama wanted the border row laid to rest once and for all.