This hadith has been reported on the authority of Hammad with the same chain of transmitters, but with a slight variation of wording.
Sahih Muslim Book 36, Hadith 182
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Sahih Muslim Book 36, Hadith 181 Next Hadith → 0 ye, prepare for us food sufficient for five persons, for I intend to invite Allah's Apostle (ﷺ) who would be the fifth amongst the five. He (the narrator) reported that he then prepared the food and came to Allah's Apostle (ﷺ) and invited all the five (including him) who was the fifth amongst them to the feast. A man followed him and when Allah's Apostle (ﷺ) reached the door, he said: This man has followed us; if you like you may permit him (to join the meal) and if you like he can go back. Thereupon the person said: Allah's Messenger, I permit him.

Sahih Muslim Book 36, Hadith 183