Being preoccupied means being fully engaged or absorbed in a particular activity or thought, leaving little or no room for anything else. The antonyms for this phrase would be "unengaged" or "uninvolved". If someone is not preoccupied, they are likely to be free, relaxed, or even bored. Alternatively, they could be focused on something important or urgent. Additionally, someone who is not preoccupied may be more attentive to their surroundings, making them more responsive to the needs or concerns of others. Being unpreoccupied could also mean having an open mind, which allows for greater creativity and the ability to see things from different perspectives.