This hadith has been narrated by Ibn 'Urwa with the same chain of transmitters.
Sahih Muslim Book 12, Hadith 58
← Previous Hadith I asked the Messenger of Allah (ﷺ) whether there is a reward for me if I spend on Abu Salama's sons, and I am not going to abandon them in this state (of helplessness) for they are my sons. He (the Holy Prophet) said: Yes. For you is the reward for what you spend on them.

Sahih Muslim Book 12, Hadith 57 Next Hadith → When a Muslim spends on his family seeking reward for it from Allah, it counts for him as sadaqa.

Sahih Muslim Book 12, Hadith 59