Used when there's limited time to achieve something and action needs to be speedy. We'd better hurry on with the preparations; guests arrive in an hour.
Pro Tip 2/3
Urgent Progress
Implies an important need to advance in a task or process without delay. The manager stressed that we must hurry on to meet the launch date.
Pro Tip 3/3
Not Literal
Doesn't always mean physical movement; can refer to quick progress in general. I need to hurry on through the report writing so it's ready for review.