Former Rivers state Governor, Rotimi Amaechi can become a Minister without undergoing Senate Screening.

According to the Nigerian Constitution, if the Senate
does not confirm or reject Amaechi within twenty-one
working days of the receipt of nomination he
automatically becomes a Minister of the Federal
Republic of Nigeria.
See excerpt from Nigerian constitution below:
147. (1) There shall be such offices of Ministers of
the Government of the Federation as may be
established by the President.
(2) Any appointment to the office of Minister of the
Government of the Federation shall, if the nomination
of any person to such office is confirmed by the
Senate, be made by the President.
(3) Any appointment under subsection (2) of this
section by the President shall be in conformity with
the provisions of section 14(3) of this Constitution:-
provided that in giving effect to the provisions
aforesaid the President shall appoint at least one
Minister from each State, who shall be an indigene
of such State.
(4) Where a member of the National Assembly or of
a House of Assembly is appointed as Minister of the
Government of the Federation, he shall be deemed to
have resigned his membership of the National
Assembly or of the House of Assembly on his taking
the oath of office as Minister.
(5) No person shall be appointed as a Minister of the
Government of the Federation unless he is qualified
for election as a member of the House of
Representatives.
(6) An appointment to any of the offices aforesaid
shall be deemed to have been made where no return
has been received from the Senate within twenty-one
working days of the receipt of nomination by the
Senate.

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