On the opening game of the season, Biševac made his debut in a 1–0 loss against Lorient, playing 90 minutes. He soon became a regular player in the team, playing the first four games to start the season. After the arrival of centre back Diego Lugano, however, he lost his first team status. Incoming manager Carlo Ancelotti then shifted Biševac from central defence to right back, finding himself competing with natural right backs Christophe Jallet and Ceará. The arrival of Alex from Chelsea sent Biševac further down the pecking order at centre back. On 28 January 2012, Biševac opened his goalscoring account for PSG, netting the only goal in a 0–1 victory away to Brest. In the same month, he was awarded UNFP Player of the Month due to his impressive performances. He went on to make more appearances for the club, reverting to his nature centre back position towards the end of the season.