Seeking Sanctuary says trying to relocate migrants from areas of the camp nicknamed 'The Jungle' during the freezing winter weather is bad timing and there are not enough shipping containers to accommodate those being evicted.
The organisation says sending French riot police in to move on more than 1,000 people and remove things like tents could stoke already tense relations between migrants and the French authorities.
Speaking earlier on Premier's News Hour, Phil Kerton, highlighted how migrants in Calais are human beings "created in God's image".
He said: "Even the daytime temperatures have been sub-zero and the exiles have seen the first snow in their lifetimes.
"They're finding it very, very cold at night. It's so cold, they can't sleep.
"The parts of the territory where the workers are actually bulldozing things and lowering things, clearing shrubs and trees so people can't hide from the police etc. is not the part really where people are living but the people there are very traumatised, very fragile people.
"A lot of them are young men, 18-28 years old, who get very fired up and are quite likely to go and taunt the police and throw pebbles at them.
"The police will respond by throwing tear gas back."