Antonyms for the phrase "more high priority" would include "less important", "lower on the list", "non-essential", or "low priority". These terms indicate that a task, project, or issue is not at the top of the list and can be done at a later time. These antonyms emphasize that something is not urgent or critical, and there are other more pressing matters to attend to first. By understanding the antonyms for "more high priority", one can prioritize tasks effectively and manage time efficiently.