Purity: Immediate Prayer for Those with Continuous Incontinence
Practical Laws of Islam as per the teachings of Ayatullah Sistani
Ruling 309:
If urine or faeces are discharged continuously, it is not necessary for the person to perform prayers immediately after performing wuḍūʾ, although it is better that he make haste to perform the prayers.
-Ayatullah Sistani, Practical Laws of Islam, Purification (Taharah)