It'll work, but keep a close watch on the cable end in the lever because it may start to fray quite soon. When most cyclocross levers are used like this, the cable gets bent more than it would in a normal lever every time you pull the lever, and the cable can then start to fray easily (i.e., individaul strands start to break). If you keep an eye on the cable and replace it when this starts to happen, you should be OK. Plus, always use two brakes just in case one cable does break while riding, which will usually happen when you need to use the brakes the most and so are pulling hardest on them. There are some cyclocross levers that have a pivoting cable stop, which prevents most of the bending, if you can get some of those then they would be best.