Praise be to Allaah.
We put this question to Shaykh Muhammad ibn Saalih al-‘Uthaymeen, may Allaah preserve him, who replied as follows:
“No, this is not included in that hadeeth, because if he urinates, he can pour water over it and the urine will be removed, but he should not start taking his shower until the urine has been removed by pouring water over it.”
This urination is happening during the shower.
Usually there is another place for urinating, but if it happens that a person needs to urinate whilst he is having a shower, he should stop washing himself until he has urinated and washed away the urine. And Allaah knows best.