This hadith has been narrated on the authority of Humaid with the same chain of transmitters, but with a slight variation of wording.
Sahih Muslim Book 48, Hadith 32
← Previous Hadith Did you supplicate for anything or beg of Him about that? He said: Yes. I used to utter (these words): Impose punishment upon me earlier in this world, what Thou art going to impose upon me in the Hereafter. Thereupon Allah's Messenger (ﷺ) said: Hallowed be Allah, you have neither the power nor forbearance to take upon yourself (the burden of His Punishment). Why did you not say this: O Allah, grant us good in the world and good in the Hereafter, and save us from the torment of Fire. He (the Holy Prophet) made this supplication (for him) and he was all right.

Sahih Muslim Book 48, Hadith 31 Next Hadith → You have not power enough to undergo the torment imposed by Allah. And there is no mention of: He supplicated Allah for him and He cured him.

Sahih Muslim Book 48, Hadith 33