Praise be to Allah.
Al-Mughirah ibn Shu’bah said: “The Prophet (peace and blessings of Allah be upon him) did wudu and wiped over his socks and shoes.” (Narrated by al-Tirmidhi, 92; classed as sahih by al-Albani in Sahih Sunan al-Tirmidhi, no. 86)
The author of al-Qamus said: “Jawrab (socks) means something that is wrapped around the feet.”
Abu Bakr ibn al-‘Arabi said: “Jawrab means a thin cover for the feet made of wool, worn to keep the feet warm.”
Ibn Hazm said: “Wiping over anything that is worn on the feet – of things that are permitted to be worn and which come up above the ankles – is Sunnah, whether they are slippers (khuffayn) made of leather or felt or wood, or socks made of linen, wool, cotton, camel hair or goat hair, whether leather is worn over them or not, or whether they are overshoes or slippers worn over slippers or socks worn over socks.” (Al-Muhalla, 1/321)
Some scholars differed as to whether it is permissible to wipe over the slippers (khuffaayn) . The correct view as indicated by the evidence is that it is permissible to do that, as stated above.
And Allah knows best.