The antonyms for the word "am unoccupied" can be several words depending on the context of the sentence. Some of the words that can be antonyms for this phrase are "am occupied", "am engaged", "am busy", "am preoccupied", "am occupied with" and "am taking care of". These words suggest the opposite of being unoccupied and imply that a person is busy doing certain tasks, working on something or engaging in some activity. While unoccupied means having nothing to do or being idle, antonyms for it depict a person who is active, productive, and engaged in their daily routine.