Place the carrots, shallot, ginger, miso, vinegar, and sesame oil in a blender. Blend, scraping down the sides as necessary, until very finely chopped, about 1 minute.
Add the canola oil and blend until nearly smooth, about 30 seconds. If necessary, thin the dressing with up to 2 tablespoons water. The dressing will keep in the refrigerator for up to 3 days.