Buhari explained that the request for the confirmation of the nominees was in accordance with the provision of Section 2(1) of the EFCC (Establishment) Act, 2004.
Buhari recently signed the controversial Petroleum Industry Bill (PIB) into law, but there have been protests, especially from the South-South region of the country.
Mr Kamba was impeached on Tuesday alongside his deputy, Muhammadu Aliyu.
It added that some of the lawmakers were aggrieved over the paltry some of the money they received from the fund and vowed to protest it when they resume from annual recess next month.
State petroleum minister Timipre Sylva and Senator Albert Akpan are fingered as those dispatching the cash logistics.
While praising the 9th assembly for work done, the Senate President also warned against the misuse of the funds allocated to host communities.
Alleged moves to impeach him over the development have been thwarted due to an order of a Federal High Court sitting in Abuja.
FULL LIST: How Senators voted denying INEC power to determine electronic transmission of election...
This was after attempt to secretly remove section 52(3) from the bill, which empowers the electoral body to determine the transmission of election results by electronic means where and when practicable, failed.
This is the resolution of the Nigerian Senate during plenary on Thursday while considering the amended electoral act.