"My jaw hurt for hours afterwards because I couldn't stop smiling."
Dylan, who maintains an active touring schedule at age 73, later played a more customary concert in Philadelphia.
But the private show was atypical for Dylan, who performed covers of rock 'n' roll pioneers including Buddy Holly's Heartbeat and Fats Domino's Blueberry Hill, the magazine said.
Wikingsson, who confirmed the concert on Twitter, plans to turn the experience into a 15-minute documentary to be released next month on YouTube.
A Facebook page for the Swedish project - called Experiment Ensam, or "Experiment Alone" - will examine Wikingsson's response to seeing Dylan without the crowds.
"Will there be total euphoria or an emptiness that he cannot share the experience with someone?" it asked.
Wikingsson told Rolling Stone that he did not go to Dylan's public concert, saying it would be "weird" and that "nothing could top" his private show.
Instead, Wikingsson spent the evening at a karaoke bar. He selected Dylan songs - and sang with a crowd.
- AFP