The land’s owners, David and Mary Palmer, successfully applied to the courts for the tribe to be evicted.
However, Scottish Borders Council said they had failed to comply with an order to leave the land by 17:00 on Monday.
Jedburgh councillor Scott Hamilton said the group were breaking the law by taking up residence on someone else’s land.
He said the landowner had been left with “no option” but to seek an order from the sheriff.
Mr Hamilton, deputy leader of the council, said it was disappointing – but not surprising – that the group had ignored the ultimatum to leave the site.
“They have rebuffed every opportunity to engage with us,” he said.
“We can help them, but we won’t sit back and let them break the law.”
He added that comments on social media by the group, which has made allegations of prejudice against the community, had upset a lot of people in the area.