Q: Can I make prostration of recitation (tilawah) or that of gratitude (shukr) without wudu?
A: No. Sujud tilawah and shukr are much like supererogatory prayers and subject to the same conditions including; purification, facing the qiblah, covering your awrah, etc. therefore you must be in a state of purification be it from wudu, tayammum, or ghusl.
Source: Sharh al-Muntaha