Chairman, Senate Committee on Media and Publicity, Senator Sabi Abdullahi, stated this in a statement on Tuesday in Abuja.
It said since it is yet to secure a stay of execution order, it could not stop the lawmaker from resuming.
Same day he was suspended, Omo-Agege had reportedly told Punch that he would continue to work as a senator.
It will be recalled that Senate President Bukola had on April 25, announced the setting up of Investigative panel which is chaired by the deputy leader of the senate, Senator Bala Ibn Na'Allah (APC Kebbi North), to carry out a holistic probe into the invasion.
"The Senate has been advised that since the motion for stay of execution of the Thursday (May 10, 2018) judgement shall be heard and possibly determined on Wednesday, May 16, 2018, we shall therefore respect the subsisting High Court judgement and await the appellate court's decision on the pending motion".
The judge noted that from the wording of the report of the Senate's Ethics and Privileges Committee which recommended Omo-Agege's suspension, he was punished for filing a suit against the Senate after apologising to the legislative house over the allegation leveled against him.
Some staff of the assembly, who pleaded anonymity, told NAN that the development was not unconnected with the expected return of Omo-Agege to the chamber on Tuesday after the court judgment in his favour.
Last week Thursday, a Federal High Court in Abuja nullified the suspension of Omo-Agege for 90 days by his colleagues and declared it illegal.