You could do that but keep an eye out for any changes; even that might not be enough. It seems like the white llights have a deeper impact on the more sensitive corals. I have heard of doing nothing but increasing and then decreasing the dark cycle over a period of weeks after bulb changes. I have also heard of people using wax papaer as a diffuser for a few days. I think the most careful approach would be to change actinics over a period of days with a longer dark cycle and then change your white lights over a period of days with an even longer dark cycle in between. Some do one of each at a time over days (1 actinic and 1 white at a time) it all depends on your system and your corals. You will have to figure out from trial (hopefully no error) what works best for your corals. Anything you can do that is not DRASTIC is best.
The change in lighting kills the symbiotic algae within the corals, that is what is responsible for their color and also why they turn white. Your particular system is as unique as you are so there really is no one answer that works for everyone. You just have to play detective to find out that works best for your guys. They will recover gradually and be better than they were before under the new lighting once you figure out how to time it right.