The phrase "with dispatch" means to do something quickly or promptly. There are several synonyms for this phrase that can be used in different contexts. For example, "expeditiously" is commonly used to describe legal proceedings that are conducted swiftly. "Promptly" and "immediately" imply a sense of urgency and a need for immediate action. "Efficiently" and "productively" emphasize the importance of completing tasks quickly and effectively. "Swiftly" and "speedily" are more informal synonyms that convey a sense of urgency. Regardless of the word used, the meaning remains the same - a particular action must be done quickly and without delay.