Sunan Ibn Majah, Volume 3, Book 20, Hadith 2603 (DarusSalam) ⓘ
It was narrated from Ubadah bin Samit that the Messenger of Allah said: “Whoever among you undergoes a Hadd, his punishment has been brought forward, and it is an expiation for him otherwise his case rests with Allah.”
حَدَّثَنَا مُحَمَّدُ بْنُ الْمُثَنَّى، حَدَّثَنَا عَبْدُ الْوَهَّابِ، وَابْنُ أَبِي عَدِيٍّ، عَنْ خَالِدٍ الْحَذَّاءِ، عَنْ أَبِي قِلاَبَةَ، عَنْ أَبِي الأَشْعَثِ، عَنْ عُبَادَةَ بْنِ الصَّامِتِ، قَالَ قَالَ رَسُولُ اللَّهِ صلى الله عليه وسلم " مَنْ أَصَابَ مِنْكُمْ حَدًّا فَعُجِّلَتْ لَهُ عُقُوبَتُهُ فَهُوَ كَفَّارَتُهُ وَإِلاَّ فَأَمْرُهُ إِلَى اللَّهِ " .
also referenced under: Hadith 2603 (Reference) & Book 20, Hadith 2701 (In-Book)