The lawmakers took the resolution after adopting a motion brought under matters of urgent national importance by its spokesperson, Benjamin Kalu.
Public outcry recently greeted a planned purchase of brand new SUVs for Senators which will amount to about N5.5billion.
The Appropriation Bill for next year is expected to top the agenda of the house.
The judge said it is only the court that has the prerogative power to issue such a directive and not the National Assembly.
It, therefore, ordered INEC to conduct a fresh election for the senatorial district within 90 days.
The snake was said to have fallen from the top roof of the chamber and disrupted plenary as legislators took to their heels for safety.
Lawan's submission did not go down well with Senator Danjuma Goje, who kicked against the decision of the Senate President.
This was made known on Tuesday by the Chairman, Senate ad hoc committee on Media and Public Affairs, Senator Adedayo Adeyeye while addressing journalist after plenary.
President Muhammadu Buhari had sent the list containing the names of those expected to form the next cabinet of the Federal Executive Council (FEC).
The list was sent to the Senate on Tuesday.