Sayyidah Aishah (may Allah be pleased with her) narrates that he (peace and blessings be upon him) was wrapped in a Yemeni hullah that belonged to Abdullah bin Abi Bakr (may Allah be pleased with them both). Then it was removed, and he (peace and blessings be upon him) was shrouded in three Yemeni garments, among which there was neither a turban nor a shirt. Abdullah (may Allah be pleased with them both) picked up that hullah and said: Let me be shrouded in it. Then he said: The Messenger of Allah (peace and blessings be upon him) was not shrouded in it, so shall I be shrouded in it? Then he gave it in charity.
Hadith Referenceالسنن الكبرى للبيهقي / كتاب الجنائز / 6679