Is it possible to assign names to assignment numbers displayed in time cards?

Summary: We have hundreds of employees who have multiple assignments, and when they go to enter time in their time cards, they don't know which assignment to use because it only shows assignment numbers (instead of an assignment name). So they have to ask their supervisor or reach out to someone in HR.

Content (required): I'd like to know if it's possible to assign names to assignment numbers displayed in time cards. If it is possible, how do you configure it?