The phrase "be imminent" refers to something that is about to happen or occur soon. The antonyms of this phrase include words like distant, remote, and faraway, which all indicate that something is unlikely to happen in the near future. Other antonyms for "be imminent" include words like postponed, delayed, and deferred, which imply that something has been pushed back or will not happen as soon as expected. Furthermore, the terms "uncertain" and "unpredictable" can also serve as antonyms of "be imminent," as they suggest that something is unlikely to happen at all or is subject to change without warning.