I asked Abu'l-'Aliyah whether a person who is sexually defiled and has no water with him, but he has only nabidh, can wash with it? He replied in the negative.
Sunan Abi Dawud Book 1, Hadith 87
← Previous Hadith tayammum is more my liking (than performing ablution with milk and nabidh).

Sunan Abi Dawud Book 1, Hadith 86 Next Hadith → Urwah reported on the authority of his father that Abdullah ibn al-Arqam travelled for performing hajj (pilgrimage) or umrah. He was accompanied by the people whom he led in prayer. One day when he was leading them in the dawn (fajr) prayer, he said to them: One of you should come forward. He then went away to relieve himself. He said: I heard the Messenger of Allah (ﷺ) say: When any of you feels the need of relieving himself while the congregational prayer is ready, he should go to relieve himself.

Sunan Abi Dawud Book 1, Hadith 88