In the 2010–11 season, Compper started the opening game of the season well when he set up a goal for Peniel Mlapa, in a 4–1 win over Werder Bremen. He started out playing in the left–back position when Manager Ralf Rangnick preferred Isaac Vorsah and Josip Šimunić as their centre–backs instead. Compper started every match until he suffered a back injury that kept him out of the game for two matches. He returned to the centre–back position, where he started the whole game, in a 3–2 win over Borussia Mönchengladbach on 17 October 2010. Following this, he managed to regain his role as a centre–back position for the rest of the season. On 18 December 2010, Compper scored his first goal of the season in a 1–1 draw against Nürnberg. However, in late March, Compper found himself in an incident with teammate Sejad Salihović at training; the two later resolved their differences.