Interpol has issued a warrant for his arrest. In a speech shown on television, Al-Dbaiba stated that cooperation was required to safeguard the long-term stability of Libya.
He added that the extradition was lawful since his nation was simply adhering to an "international judicial framework to extradite accused citizens."
Without providing any supporting proof, Al-Dbaiba asserted that Masud had created the bomb that detonated midair on a Pan Am flight, killing 270 people. Nevertheless, he was adamant that Libya "had to wipe the mark of terrorism from the forehead of the Libyan people."
Muammar Gaddafi, the former ruler of Libya, became despised worldwide due to the attack. 2011 saw a revolt that ultimately resulted in Gaddafi's overthrow and demise.
Al-Dbaiba and his Government of National Unity (GNU), which is based in Tripoli, have not yet made any announcements about his incarceration or transfer to the United States, with which Libya has no extradition agreements.
Siddiq al-Sour, Libya's top prosecutor, responded to a complaint from the suspect's family by promising that a probe into Masud's arrest and transfer conditions would begin the next day. The prime minister of Libya made his remarks the following day.
Fathi Bashagha, the prime minister of the opposition-led administration in eastern Libya, deemed Masud's detention unlawful on Tuesday and demanded his immediate release.
Libyans are even more irate about the extradition since they have already experienced years of turmoil and conflict. On Thursday, videos on Facebook showed posters in Tripoli accusing al-Dbaiba and the paramilitary units he has partnered with of the transfer of Masud.
Many think al-Dbaiba wrongfully detained Masud and gave him to the US in order to win that nation's support in his power battle with other parties.
Muammar al-Masud, a former explosives expert for Libyan intelligence, is thought to have constructed the bomb that destroyed a Boeing 747 over Lockerbie, Scotland, in 1988, killing 259 people on board and 11 persons on the ground. The plane to New York City carried about 190 Americans.
It wasn't until 2020 that the US officially accused him after learning that he had allegedly confessed to a Libyan law enforcement official.
His family said, according to Reuters last month, that he was seized from their home by an armed team connected to al-Dbaiba.
On Sunday, the US asserted custody of him. Masud was charged with international terrorism the following day in a federal court in Washington.
Al-Dbaiba claims that despite Masud's "involvement in terrorism," the government will provide him with legal counsel.
A transcript of an interview Masud had with local law enforcement in the North African nation in 2012 was acquired by the US Justice Department in 2017. He is said to have admitted to making the device used in the Pan-Am bombing.
Masud informed FBI agents that the strike had been ordered by Gaddafi's intelligence services.