The phrase 'drawing near' refers to the act of approaching something or someone. Synonyms for this phrase can help convey a sense of urgency or anticipation. Alternatives include 'approaching,' 'coming closer,' 'nearing,' 'getting closer,' 'approaching rapidly,' and 'closing in on.' Other options include 'moving in,' 'edging toward,' 'making headway,' 'converging,' and 'homing in on.' These terms can be used to indicate a range of scenarios, from a physical approach to an emotional one. The appropriate synonym will depend on the context and tone of the communication.