This hadith is narrated by Salim b. Hayyin with the same chain of transmitters, but with a slight variation of words.
Sahih Muslim Book 15, Hadith 235
← Previous Hadith With (what intention) have you put on Ihram? He said: I have put on Ibram in accordance with the intention with which Allah's Apostle (ﷺ) has put on Ibram, whereupon he (the Holy Prophet) said: Had there not been the sacrificial animals with me, I would have put off Ihram (after performing 'Umra).

Sahih Muslim Book 15, Hadith 234 Next Hadith → I heard Allah's Messenger (ﷺ) pronouncing Talbiya for both simultaneously, Talbiya for 'Umra and Hajj. Talbiya for Uwra and Hajj (he performed both Hajj and Umra as a Qarin). In another version words are: I heard Allah's Messenger (ﷺ) pronouncing Talbiya for Umra and Hajj (simultaneously)."

Sahih Muslim Book 15, Hadith 236