The Acting President condemned the takeover of the National Assembly complex, describing it as "a gross violation of constitutional order, rule of law and all acceptable notions of law and order".
Some lawmakers like Senator Ben Bruce took to social media to make the revelation, saying they were doing everything to protect "our democracy".
According to a report by Vanguard, the sacked Director General of the Department of State Service, DSS, Lawal Daura, had informed the IGP of his plans for a massive deployment of his men to National Assembly, and pleaded with him to support the operation with more men from the police force.
Sequel to Daura's summary dismissal, Osinbajo approved the appointment of Mr. Matthew Seiyefa as the Acting DG of the DSS. The motive for the blockade was not immediately clear.
"The unlawful act, which was done without the knowledge of the presidency, is condemnable and completely unacceptable", said a statement issued later by Osinbajo's office.More news: Timberwolves' Karl-Anthony Towns responds to Trump's tweet about Lebron James
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Saraki, the country's third-highest ranking politician, last week dumped the APC for the main opposition Peoples Democratic Party (PDP).
The President of the Senate, Dr. Abubakar Bukola Saraki, on Monday arrived the National Assembly after the evacuation of operatives of the Department of State Services. Saraki had called a meeting of parliamentary leaders to hold on Tuesday amid pressures on the lawmakers to approve funding for next year's election.
"We urge Nigerians and the global community to condemn this illegal invasion of the National Assembly complex and the attempt to asphyxiate the legislature as undemocratic, uncivilized and irresponsible", said Saraki in a tweet.
The sacked DG's official convoy returned without him from the Presidential Villa to the Yellow House hours after Mr Daura was fired.
Ojukwu, a Nigerian Bar Association's presidential aspirant, said, "I am excited to be counted as a Nigerian, a lawyer and a law teacher by this example of leadership by our acting President".