On 20 August 2012, Bulut made his first appearance in the 2012–13 Süper Lig season against Kasımpaşa as he was included in the starting eleven, and he scored a brace for Galatasaray as the game finished 2–1. Bulut got the equaliser in the following match against Beşiktaş as the game finished 3–3. On 2 September 2012, he again scored the opening goal of the match, in Galatasaray's 3–2 win against Bursaspor, the one thousandth league win in the club's history. Bulut's next goal came on 15 September 2012, scoring in the 90th minute as Galatasary won 4–0 against Antalyaspor. His five league goals in the first four weeks of the season surpassed the record set by Saša Ilić. On 19 October, Bulut scored an crucial goal for Galatasaray against Gençlerbirliği, helping his side come from 1–3 down to tie the game 3–3. After disappointing performances in both the Süper Lig and Champions League during the month of October, Bulut returned with another excellent match as he scored the opener against Kayserispor in a 3–0 win. The following week he scored his tenth goal of the season, again getting the opener in a 3–1 victory against İstanbul B.B. after converting from teammate Burak Yılmaz's assist.