In The Global Search, can we make Job Name to display instead of Assignment Name?

Summary

In The Global Search, can we make Job Name to display instead of Assignment Name?

Content

In HCM Global Search, when we search for a person, it displays the person name and the Assignment Name. We have a requirement to change it to Job Name, because when there is a change in Job Name, Assignment Name is not getting updated with New Job Name immediately and User gets confused with this. Attached screen shot shows where it