The above tradition has also been handed down through a different chain of transmitters.
Sahih Muslim Book 33, Hadith 119
← Previous Hadith 1 asked Salama as to what effect he had sworn fealty to the Messenger of Allah (ﷺ) on the Day of Hudaibiya. He said: To the effect that we will die fighting.

Sahih Muslim Book 33, Hadith 118 Next Hadith → A person came to him and said: Here is Ibn Hanzala who is making people swear allegiance to him. He (, Abdullah) asked: To what effect? He replied: To the effect that they will die for him. 'Abdullah said: I will never swear allegiance to this effect after the Messenger of Allah (ﷺ).

Sahih Muslim Book 33, Hadith 120