(a) A hadith to the same effect is also reported from Sayyidah Aishah al-Siddiqah (may Allah be pleased with her).
(b) We have narrated from Ibn Umar (may Allah be pleased with them both) and Sayyidah Aishah (may Allah be pleased with her) a report about his (peace and blessings be upon him) Hajj al-Ifrad which contradicts this hadith. There he (peace and blessings be upon him) did not come out of his ihram until he had finished his Hajj, and this also establishes that he (peace and blessings be upon him) was not performing tamattu'. And Allah knows best.
Hadith Referenceالسنن الكبرى للبيهقي / كتاب الحج / 8859