The victim remains in a stable condition in hospital, Surrey Police said.
Ch Supt Jon Groenen said: “There is nothing to suggest this incident is terror-related and we are not looking for anyone else in connection with it.”
Groenen added: “We know how concerning this incident is, both for the University community and for local residents here in Guildford, and our officers are working at pace to establish the full circumstances of what occurred.
“We continue to work closely with the University and at this time. I would ask people to refrain from speculating online to preserve the integrity of the investigation.”
A University of Surrey spokesperson said: “We have been informed that our colleague is now in a stable condition and our entire community is relieved to hear this news. We wish him a full and speedy recovery.
“We also want to take this opportunity to thank our Campus safety team. They responded with professionalism and courage to this incident, and their commitment to keeping this community safe is something we are deeply proud of.”
