Purity: Sufficiency of Recommended Ghusls for Wudu
Practical Laws of Islam as per the teachings of Ayatullah Sistani
Ruling 635:
If someone performs one of the ghusls that has been legally established as being a recommended ghusl – such as those mentioned in Ruling 633 – he can perform acts that require wudu, such as prayers, with that ghusl. As for ghusls that are performed with the intention of rajāʾ – such as those mentioned in Ruling 634 – these do not suffice in place of wudu.
-Ayatullah Sistani, Practical Laws of Islam, Purification (Taharah)