A centrifugal pump (7), with one or more pumping stages, includes a pressure controlled valve (15) inside the pump (7) for supporting self-priming, the pressure controlled valve (15). The pressure controlled valve (15) includes a pretensioned leaf spring (17) and a valve seat (18). The leaf spring (17) has an opened position and a closed position. In the open position the leaf spring (17) is distanced from the valve seat (18). In the closed position the leaf spring (17) closes the valve seat (18). The leaf spring (17) and valve seat (18) are arranged for soft closing.