Mr Hazo removed on Thursday, was impeached after 24 members of the 34-member house passed a vote of no confidence on him in a sitting presided over by the speaker Yusuf Zailani.
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.
Lawmakers at the federal level are projected as earning much more than their counterparts globally.
This is one of the measures put in place by the Federal Government to checkmate Coronavirus disease currently on the rise in the country.
Arguing that they have no right to question the government, the deputy speaker said it would be comprehensible if the petition is coming from those who are within the country.
The Senate said the decision is at the instance of the president who cited Coronavirus disease and the dwindling oil price.
This was the outcome of the meeting between President Muhammadu Buhari and lawmakers-elect of the green chamber when the former hosted them to a dinner Tuesday evening.
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.