The 25-year-old suffered a partial ligament tear in his right ankle during Dortmund's 4-4 draw against Schalke 04.
Gotze has made 15 appearances for BVB this season, scoring once and providing three assists.
The German club have struggled recently and have failed to win in any of their last six matches, slumping to fifth in the Bundesliga, eight points off leaders Bayern Munich.
Dortmund face Bayer 04 Leverkusen at the BayArena on Saturday. body check tags ::