Rory MacPherson's video has now been viewed tens of thousands of times on Facebook.
In it he can be heard laughing as the wild animal tries to bite his feet.
But when the 24-year-old tries to escape to his car, the otter follows him at full pelt, and he shouts: "I'm being chased by an otter!".
Mr MacPherson, from Lockerbie, said he came across the animal "jumping about the road" near the Kagyu Samye Ling monastery at Eskdalemuir on Monday.