This disclosure relates generally to flow sensors, and more particularly, to flow sensors that include a pressure related output signal. In one example, a flow sensor assembly may include a housing with an inlet flow port, an outlet flow port and a fluid channel extending therebetween, with a flow sensing element positioned in the housing and exposed to the fluid channel. A filter insert may be situated in the fluid channel, sometimes upstream of the flow sensor. When so configured, the flow sensor assembly may output a pressure or differential pressure based, at least in part, on a value of the flow rate through the fluid channel as sensed by the flow sensor.