A technique facilitates controlling fluid flows, such as fluid flows in a downhole well zone or zones. A flow control valve is employed to control a fluid flow and is operationally linked with an injection valve. Actuation of the flow control valve is used to automatically actuate the injection valve between corresponding positions allowing or blocking fluid injection. Closing or opening of the flow control valve thus results in a desired corresponding action of the injection valve, such as blocking flow or allowing flow through the injection valve.