An intravascular valve component broadly includes a valve case and a flexible pressure-actuated flow control valve. The valve case includes attached proximal and distal case portions that present respective spaced apart fluid ports and a fluid passageway extending between the ports. The flexible pressure-actuated flow control valve is disposed within the fluid passageway and includes a slitted central valve wall and an annular flange surrounding the central valve wall. The annular flange includes a radially-extending flange wall and a projection extending axially from the flange wall, with the projection engaging one of the case portions to restrict radial movement of the flow control valve relative to the valve case.