"If the Messenger of Allah wanted to eat when he was sexually impure, he would perform ablution."  

كَانَ رَسُولُ اللَّهِ ﷺ إِذَا أَرَادَ أَنْ يَأْكُلَ وَهُوَ جُنُبٌ تَوَضَّأَ  

"The Prophet was asked about whether a person who is sexually impure can sleep, or eat, or drink. He said: 'yes, if he does ablution as for the prayer.'"  

سُئِلَ النَّبِيُّ ﷺ عَنِ الْجُنُبِ هَلْ يَنَامُ أَوْ يَأْكُلُ أَوْ يَشْرَبُ قَالَ نَعَمْ إِذَا تَوَضَّأَ وُضُوءَهُ لِلصَّلاَةِ