The group are currently on a car park near Exeter Quay.
The city council's served a possession order on the group at the Haven Banks car park.
A court's expected to reach a decision next Tuesday.
Travellers could be moved on by next week.
More from Local News
-
Poisonous trees near park may have to be removed
Plymouth council is consulting the public
-
Plymouth's £750 million debt is good for city, council claims
Leaders say money is used for investment
-
Drydon Road traffic scheme: you help decide
Council changed layout during covid
-
Three injured in Plymouth street fight
Police are appealing for witnesses
-
Pedestrian dies in Brixham crash
Articulated lorry involved
-
Body found at Sandy Bay
It's after two men went missing on Christmas Day
