Thirty patients and three members of staff are believed to have contracted the norovirus.
Hospital managers are now urging people to take all the usual measures to stop the problem from getting worse.
Infection Control Manager Elaine Ross explains more:
More top news
Three girls have been hurt after a stone was thrown through the window of the school bus they were travelling on in Carlisle.
Drivers are being urged to take extreme caution when driving this morning, as heavy snow covers routes across the ITV Border region.
The Met Office has issued a new amber weather warning for snow for the south of Scotland, and a yellow warning for parts of Cumbria.