Uni bosses have reported 15 cases of the disease since late last week. No student has been admitted to or attended hospital as a result of contracting the virus normally associated with young children.
But those living in student halls who have contracted mumps have since been moved out as officials try to contain the outbreak.
Mumps is preventable with the MMR vaccination and doctor stressed how "important" it is that students have had the two vaccinations.
An email issued to students read: "Check with your family to confirm if you have been vaccinated and if you have received two vaccines.
"It you have not, then we would suggest you contact your GP's surgery."
Around 30 students have already been inoculated.
A uni spokesman reassured students and the wider public that cases appear to be levelling off.
They said: "Around 15 of students have been diagnosed as having mumps and they have been advised to stay at home while the virus runs its course.
"Where students stay in halls of residence, we have asked if they can stay at an alternative address if possible.
"We have advised students to contact their GP to check their immunisation status and are offering free inoculations at the university medical centre."