No more buds--just the flowerhead will get a little taller. Keep in mind L regale is sold as a species and with this species there is a lot of variation in many different ways so if you have lots of them, you'll see a lot of these differences I speak of. My approach with L. regale was to buy lots of them, then I picked out the ones I liked best for myself and gave the rest away. They are prone to fasciation and some repeatedly, which I got rid of. Some divide excessively, too, resulting in more plants than flowers--which I also got rid of. But overall, they're very tolerant/resistant to most common lily diseases, especially botrytis because of their relatively narrow leaves and the best for last---they are just downright beautiful..
Watch the cigarette around lilies, though. Tobacco commonly carries a mosaic virus which can infect lilies. Just to be safe wash your hands before handling bulbs, etc. and don't let anyone discard butts containing unburned tobacco around your lilies.