He is representing Yorro state constituency.
Mr Lawan has also promised early passage of the budget if submitted early to lawmakers.
Meanwhile, Mr Gbajabiamila has apologised to those who honoured the invitation and rescheduled it to hold on Monday.
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.