In January 2008, it was reported that Kalvenes was likely to leave United at the end of his contract and return to Norway; something the player admitted considering in March, although adding it would be "difficult to walk away" and "tough to leave". Following an injury in mid-April, Kalvenes confirmed he had played his last match for the club, and that he would return to Norway at the end of the season to be closer to his family. In his time at Tannadice Park, Kalvenes made 48 appearances scoring 2 goals. Kalvenes scored on his competitive debut at Ibrox as United drew 2–2 with Glasgow Rangers in the second game of the 2006–07 season.