The YPP is the political party on which Mr Ubah ran for the senatorial race and was elected.
Mr Ndume, a former Senate Leader made his intention known in an intent letter he wrote to Adams Oshiomhole, the national chairman of the All Progressive Congress (APC).
This is not the first time Mr Lawan who first became a senator in 2007 is indicating interest for the exalted position at the red chamber.
The bill passed its second reading on Tuesday.
The Senate Leader, Ahmed Lawan, commended the federal government for its effort on the bill.
The declaration of governor Okorocha was said to have been made under duress.
Senators-elect numbering 100 out of the 109 slots at the red chamber will be receiving their certificate of return.
In a statement by his media aide, Yusuph Olaniyonu, Saraki wished all those who won the federal parliamentary elections in the state well.
Saraki has been the major headache to the President Muhammadu Buhari led All Progressive Congress (APC).
The National Assembly has rescheduled its resumption date due to the postponement of this year's general election.