His debut match for Haifa did not come though until 23 September 2009 in a Toto Cup match against Hapoel Petah Tikva.
Hapoel Tel Aviv F.C. | Hapoel Tel Aviv | Petah Tikva | Hapoel Jerusalem | Hapoel Haifa F.C. | Hapoel Ironi Kiryat Shmona F.C. | Hapoel Hatzair | Maccabi Petah Tikva F.C. | Hapoel Ra'anana A.F.C. | Hapoel Ra'anana | Hapoel Jerusalem F.C. | Hapoel Yehud F.C. | Hapoel Petah Tikva F.C. | Hapoel Be'er Sheva F.C. | Tikva Frymer-Kensky | Hapoel Umm al-Fahm F.C. | Hapoel Jerusalem B.C. | Hapoel Bnei Jadeidi F.C. | Hapoel Beit She'an F.C. | Hapoel Beit She'an | Hapoel Be'er Sheva | Hapoel Balfouria F.C. |
Tamuz started to play organized football at Hapoel Petah Tikva F.C., where he made his professional debut during the 2005–2006 season in a match against F.C. Ashdod.