Why do you need to replace the valve? Why not use the existing valve to control the drip zone?

I am under the impression I need something that's low flow... is that not the case? Thanks

You don't have to use a low flow valve. Bigger is better because you do not want to restrict flow from the source and distribution lines. More flow means you can have more emitters.

You do have to worry about pressure. Drip systems work on lower pressure than sprinkler systems. Standard household water pressure is usually too high for drip. The cheaper pressure reducers restrict flow as a way to reduce pressure. Depending on the source water pressure and the drip system you install you will probably have to install a pressure reducer and that reducer may decrease flow. However the objective isn't to reduce flow. Flow is controlled at the emitter.

Some high flow valves will not open properly on a low flow system. I would definitely install the drip system with the appropriate pressure reducer before you swap out the valve. There is a good chance your existing valve will work just fine. If you find they don't work then it is time to replace the valves.