"Hasten to do something" is an expression that implies a sense of urgency and the need to act quickly. However, there are several other synonyms that can be used to convey a similar meaning. These include "rush," "hurry," "speed up," "accelerate," "quickly proceed," "expedite," "hustle," "gallop," and "bolt." Each of these phrases connotes a similar sense of haste and the need for swift action. Selecting the appropriate synonym often depends on the context in which it is being used and the overall tone of the conversation or written text.