The news is a major boost for the defending champions, who hold a three-point advantage over nearest rivals Bayern Munich with six matches of the season remaining.
That lead would have been greater were it not for Stuttgart's thrilling 4-4 draw at the Westfalenstadion last Friday.
Goetze has been sidelined with an injury to his pelvis since the end of last year. His last appearance for the club was as a substitute in a 1-1 draw with Kaiserslautern on December 11.
The highly-rated 19-year-old ended speculation about his future last month by signing a contract extension, committing him to the club until 2016.