Swindon Borough Council says it has visited two new caravan sites in Lawn and Mannington.
Around a dozen caravans can be seen on fields behind Mannington retail park, near Scott Way. Another pop-up site has been set up at Lawn Woods.
A spokesman for the borough said officers had carried out welfare checks.
"We have offered both groups access to our Travellers transit site as an alternative place to stay and are visiting the site regularly with our Wiltshire Police colleagues to minimise any impact on the local community," he said.
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