Purity: Tayammum Replacing Ghusl and the Requirement for Wudu
Practical Laws of Islam as per the teachings of Ayatullah Sistani
Ruling 712:
If someone performs tayammum in place of the ghusl for janābah, it is not necessary for them to perform wuḍūʾ for prayers. Similarly, [it is not necessary for them to perform wuḍūʾ for prayers] if the tayammum is in place of other ghusls – except the ghusl for medium istiḥāḍah – although in such a case, the recommended precaution is that they should perform wuḍūʾ as well; and if they cannot perform wuḍūʾ, they should perform another tayammum in place of wuḍūʾ.
-Ayatullah Sistani, Practical Laws of Islam, Purification (Taharah)