Abdeslam, who was caught after being shot in the leg during a Friday police raid in Brussels, told interrogators he had planned to blow himself up at the Stade de France stadium in Paris but had backed out at the last minute.
The 26-year-old spent four months as Europe's most wanted man for his role in organising the November 13 gun and suicide attacks on the French capital, which killed 130 people.
He is being held in the prison's "individual and special safety" wing which was built in 2008 for people who pose an escape risk or for those with particular behavioural problems, a spokeswoman said.
Although he was cooperating with the authorities, he would fight against plans to transfer him to France, his lawyer Sven Mary said.
Police have also detained a suspected accomplice of his, Mounir Ahmed Alaaj, also known as Amine Choukri, on the same terrorism charges.
His brother Brahim blew himself up in a restaurant in the east of the French capital, and Molins said Abdeslam had planned to do the same at the Stade de France before changing his mind.
"These first statements, which should be taken cautiously, leave a whole series of issues that Salah Abdeslam must explain," Molins told a Paris news conference.
Investigators believe Abdeslam rented rooms in the Paris area to be used by the attackers and a car, which he used to drive them to the Stade de France before heading to the 18th arrondissement in the north of the capital.
French President Francois Hollande said shortly after his arrest on Friday that he wanted to see Abdeslam transferred to France as quickly as possible to face prosecution.
The French national was "directly linked to the preparation, the organisation and, unfortunately, the perpetration of these attacks," said Hollande, who was in Brussels for an EU summit when the raid took place.
Mary said he is will fight the extradition, however, which legal experts said is likely to delay but not prevent his handover to the French authorities.
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