He also dismissed the allegations that he is working to remove Oshiomhole.
Some governors against the style of the former Edo governor have allegedly been plotting to unseat him.
But a statement by his Chief Press Secretary, Olayinka Oyebode, said Fayemi was not part of any plot against the president or the party leadership.
He said: “Governor Fayemi holds President Buhari, Asiwaju Tinubu and Comrade Oshimohole in high esteem and he still maintains a good relationship with them which is not hidden.
“Governor Fayemi has the best of respect for these eminent party leaders and he has no reason to be working against them.
“Let us ask ourselves, on what basis will Dr. Fayemi be working against the President? This was the man who appointed him Minister and supported him to regain the governorship seat.
“Why will he fight Comrade Oshiomhole? It was under his chairmanship that APC won back Ekiti and everybody knew the role played by the national chairman.
“Asiwaju Tinubu is a mentor to the governor; both of them had come a long way in a relationship that has lasted over two decades.
“In fact, Asiwaju attended the governor’s inauguration last week and the roles he played in the APC victory in Ekiti election cannot be forgotten in a hurry.
“Governor Fayemi has no reason to fight or work against our revered President, our respected national chairman and our revered national leader.
“The allegation is false, baseless, unfounded and exists only in the imagination of those peddling it.”