"Drifted off" is a phrase often used to describe the act of falling asleep. However, there are several synonyms that can be used to convey the same meaning. One alternative could be "nodding off," which implies a more gradual process of falling asleep. Another option is "dozing," which connotes a lighter state of sleep. "Fading away" or "slipping into slumber" are also suitable replacements for "drifted off." Lastly, one could use "sinking into sleep" or "succumbing to slumber" to suggest a complete surrender to the act of sleeping. Regardless of the synonym chosen, the end result is the same: a peaceful and restful night's sleep.