كتاب صلاة المسافرين وقصرها
6  
The Book of Prayer - Travellers
(26)
Chapter: The prayer and the supplication of the Prophet (saws) at night
(26)
باب الدُّعَاءِ فِي صَلاَةِ اللَّيْلِ وَقِيَامِهِ ‏
Sahih Muslim 763 c

Makhrama b. Sulaiman narrated it with the same chain of narrators and he made this addition:

"He then went to the water-skin and brushed his teeth and performed ablution well. He did not pour water but a little. He then awakened me and I stood up," and the rest of the hadith is the same.
وَحَدَّثَنِي مُحَمَّدُ بْنُ سَلَمَةَ الْمُرَادِيُّ، حَدَّثَنَا عَبْدُ اللَّهِ بْنُ وَهْبٍ، عَنْ عِيَاضِ بْنِ عَبْدِ اللَّهِ الْفِهْرِيِّ، عَنْ مَخْرَمَةَ بْنِ سُلَيْمَانَ، بِهَذَا الإِسْنَادِ وَزَادَ ثُمَّ عَمَدَ إِلَى شَجْبٍ مِنْ مَاءٍ فَتَسَوَّكَ وَتَوَضَّأَ وَأَسْبَغَ الْوُضُوءَ وَلَمْ يُهْرِقْ مِنَ الْمَاءِ إِلاَّ قَلِيلاً ثُمَّ حَرَّكَنِي فَقُمْتُ ‏.‏ وَسَائِرُ الْحَدِيثِ نَحْوُ حَدِيثِ مَالِكٍ ‏.‏
Reference : Sahih Muslim 763c
In-book reference : Book 6, Hadith 218
USC-MSA web (English) reference : Book 4, Hadith 1673
  (deprecated numbering scheme)