He, however, said not less than 90% of members of the party were comfortable with him remaining the chairman.
Oshiomhole spoke with State House correspondents after a delegation of the APC from Kwara State met President Muhammadu Buhari at the Presidential Villa, Abuja.
He claimed that those not happy with him in the party were aggrieved because he insisted on following due process.
The Kwara State APC Governorship candidate, Abdulrahman Abdulrasaq, said the President of the Senate, Bukola Saraki, and his camp were no threat to his ambition in 2019.
According to him, Saraki is history in Kwara politics.