Mr Akpabio called on the INEC to commence the process of by-elections in the two senatorial districts immediately.
A July 12 signal from the Force Headquarters listed those affected as including former governors, senators, ministers and family members of former President Muhammadu Buhari.
The president made this vow in a congratulatory message to Godswill Akpabio and Tajudeen Abbas on their election as Senate President and House of Representatives Speaker respectively.
The senators included Senators Abdulaziz Yari (APC-Zamfara), Sani Musa (APC-Niger) and Orji Uzor Kalu (APC-Abia).
The Senate had on April 5, adjourned plenary to April 25 for Easter and Sallah holidays.
The Peoples Redemption Party presidential candidate Kola Abiola says he will prioritise the security of lives and property if elected on February 25.
Nigerians have consistently pushed back against regulation of social media, with rights activists dismissing it as a threat to free speech.