I asked `Aisha "Did the Prophet (ﷺ) use to sleep while he was Junub?" She replied, "Yes, but he used to perform ablution (before going to bed).
Sahih al-Bukhari Book 5, Hadith 38
← Previous Hadith Allah's Messenger (ﷺ) came across me and I was Junub. He took my hand and I went along with him till he sat down I slipped away, went home and took a bath. When I came back, he was still sitting there. He then said to me, "O Abu Huraira! Where have you been?' I told him about it. The Prophet (ﷺ) said, "Subhan Allah! O Abu Huraira! A believer never becomes impure."

Sahih al-Bukhari Book 5, Hadith 37 Next Hadith → I asked Allah's Messenger (ﷺ) "Can any one of us sleep while he is Junub?" He replied, "Yes, if he performs ablution, he can sleep while he is Junub."

Sahih al-Bukhari Book 5, Hadith 39