Answered by Ustadh Tabraze Azam
Question: Can we perform wudu with warm, knitted socks?
Answer: Assalamu alaikum wa rahmatullahi wa barakatuh,
I pray that you are in the best of health and faith, insha’Allah.
It would be permitted to wipe over thick or heavy wollen socks that have the meaning of valid footgear (khuffs), yet not thin dress socks.
The socks mentioned in the traditions (hadith) are understood to be those that fulfilled the conditions of such valid footgear (khuffs).
See: Following a Madhab, Wiping Over Socks, and Tasbeeh After Prayer
And Allah alone gives success.