The eviction of the "Jungle" camp in Calais by local authorities will be examined by a French court, ahead of the camp's planned demolition on Tuesday.
Several refugee rights organisations and 250 refugees put the case before a court in the northern town of Lille, according to their lawyer Julie Bonnier.
Up to 4,500 refugees at the "Jungle" camp on the outskirts of the French city of Calais are facing eviction.
Officials have given them until Tuesday 1900 GMT to take down their makeshift homes.
If the eviction is approved, nearly 1,000 people will be moved to a newly-built container camp and the slum will be razed, French police have claimed.
According to charities working in the camp there are around 300 unaccompanied children living in the southern part of the camp.
"The proposed solutions do not meet their needs at all. It would be better that they stayed here until other solutions are found," she said.
Christian Salome, who heads a refugee aid group, said making them move in the middle of winter showed a total disregard for refugee rights.
The presence of refugees has caused tension with some of the local population and led to a permanent police deployment in the area.
The French authorities have been gradually trying to shut down the Jungle, encouraging residents to head for centers elsewhere in France.
Conditions in other camps along the northern French coast are even more dire than those in the Jungle.
However, many of the residents have family or community ties to Britain, and their attempts to enter Britain through the Channel Tunnel are frequently repelled by French police.
A campaign spearheaded by celebrities such as actors Jude Law and Benedict Cumberbatch has called on the British government to let the unaccompanied children from the camp be reunited with families in Britain and take responsibility for the "humanitarian crisis" in the "Jungle."
Eight NGOs filed a request for a temporary injunction to halt the evacuation with the administrative court in the regional capital Lille last week.
The deadline expires on Tuesday at 8 pm (1900 GMT) after which authorities will be empowered to remove remaining tents and trash, if necessarily by force.