The phrase "without minute spare" essentially means that there is no time to waste. There are several synonyms that can be used to convey the same idea. Some of these include "pressed for time," "short on time," "in a hurry," "rushed," "time-pressed," "time-sensitive," "urgently," "immediately," "quickly," and "on a deadline." These synonyms can be used interchangeably to express a sense of urgency, where every second counts. Whether it's meeting a deadline, catching a flight, or finishing a task, these synonyms capture the essence of the phrase "without minute spare" and convey a clear message that time is of the essence.