I think you refer to the following hadith which is from
الشمائل المحمدية
Shama'il Muhammadiyah:
Sayyidina Anas ibn Malik radiyallahu anhu relates that Rasoolullah sallallahu alaihe wasallam drank water in three breaths (i.e. in three gulps/sips) and used to say, It is more pleasing and satisfying in this manner
There are many ahadith which support the statement of Medi1 in his comments to some extent, like:
this one from Sunan ibn Majah (Vol. 4, Book 30, Hadith 3427)
It was narrated from Abu Hurairah that the Messenger of Allah (ﷺ) said:
“When anyone of you drinks, let him not breathe into the vessel. If he wants to continue drinking, let him move the vessel away (in order to breathe) then bring it back, if he wants.”
And from jami' at-Tirmidhi:
(Jami` at-Tirmidhi 1889):
Narrated 'Abdullah bin Abi Qatadah:
From his father, that the Messenger of Allah (ﷺ) said: "When one of you drinks, then do not breathe into the vessel."
(Jami` at-Tirmidhi 1887)
Narrated Abu Sa’id Al Khudri :
That the Prophet (ﷺ) prohibited blowing into the drink. A man said: "What about if one sees something floating in the vessel?" He said: "Spill it out (removing that)." He said: "I can not drink in one breath." He said: "Then remove the cup away from your mouth."
So drinking in more than one sip seems to be based on not breathing into the cup or vessel one drinks from. So our Messenger (peace be upon him) taught us not to breath into the cup while drinking and taking it away to not do so.