Allah's Messenger (ﷺ) has granted this concession to them.
Sahih Muslim Book 15, Hadith 334
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Allah's Messenger (ﷺ) sent me from Muzdalifa along with his luggage (in the very early part of @he dawn). I (Ibn Juraij, one of the narrators) said (to 'Ati'): Has this (news) reached you that Ibn 'Abbas (Allah be pleased with them) had said:" He (Allah's Messenger) had sent me in the latter part of the night"? Thereupon he said: No, it was the dawn. I (again) said to him: (Did you hear) Ibn 'Abbas (Allah be pleased with them) having said this (too):" We stoned al-Jamra before the dawn prayer"? So where did he observe the dawn prayer? He said: No. But he said only so much (as described above).
Sahih Muslim Book 15, Hadith 333 Next Hadith → By him, besides Whom there is no other god, that is the place (of flinging stones) of one upon whom Surah al-Baqara was revealed (the Holy Prophet).
Sahih Muslim Book 15, Hadith 335
Sahih Muslim Book 15, Hadith 333 Next Hadith → By him, besides Whom there is no other god, that is the place (of flinging stones) of one upon whom Surah al-Baqara was revealed (the Holy Prophet).
Sahih Muslim Book 15, Hadith 335