Sven Mary said on March 24 that Abdeslam "wishes to leave for France as quickly as possible" so he could "explain himself in France".
Abdeslam initially indicated he would fight extradition but reversed his position this week after an attack on Brussels left more than 30 dead and hundreds more injured.
Belgian state broadcaster RTBF and France's Le Monde are reporting that a second attacker is suspected of taking part in the bombing this week of a Brussels subway train and may be at large.
It is understood Mourad has distanced himself from his radicalised sibling and his family are ashamed of the fanatic's links to Islamic State (ISIS) which has claimed responsibility for the Brussels attacks.
On Wednesday, the Belgian prosecutor's office said that brothers Khalid and Ibrahim El Bakraoui were suicide bombers in the metro and in the airport.
One of the two brothers who ended up being suicide bombers in Brussels, Khalid and Ibrahim El Bakraoui, rented the Forest apartment, definitively connecting the Paris and Brussels attack cells, the official said.
Federal Prosecutor Frederic Van Leeuw said Brahim el-Bakraoui had been identified as the middle of three suspects caught in a CCTV image at the airport. The man in the middle, identified earlier Wednesday as 29-year-old Ibrahim El-Bakraoui, was also a suicide bomber.
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Belgium is holding three days of national mourning after the attacks on the European Union capital.
Belgium authorities are under vast pressure over their apparent inability to smash domestic extremist networks, after it emerged that the Paris attacks were largely planned from the country. Police are also seeking a Mohammed Abrini, though it is not clear whether he is also one of the attackers.
At least one of the people named in the Brussels attack had been deported by Turkey with indications that he was a jihadist. The second bomber was not identified while the third man in the picture, wearing a light overcoat and hat, had fled from the scene and was the focus of an intense manhunt.
Then came the attack in Brussels.
Najim Laachraoui, the bombmaker, had been a target for Belgian authorities since the arrest last week of Salah Abdeslam, a top suspect in the Paris attacks.
One source told AFP news agency that a man with a large bag had been seen beside Khalid el-Bakraoui on surveillance footage at Maelbeek metro station. Belgian officials, however, cautioned that it would have been hard for the terrorists to put together such a sophisticated attack on short notice.
Both men have also now been linked to a plan to target a nuclear power plant in Belgium, CBS News' Kenneth Craig reported.