A valve for injecting fuel includes a valve carrier having a valve seat and an inflow orifice, a valve positioning member, and a flow limiting element that is disposed on the valve positioning member. The inflow orifice includes a step having a peripheral annular edge, and the flow limiting element is disposed on the valve positioning member in such a way that when the valve is opened, a flow area between the annular edge and the flow limiting element is reduced from a first flow area to a second flow area.