Do I need to report that I am working two jobs on my W-2 if I am on leave from one, to work the other?

Hi everyone, I am currently interning for the summer at a new company, and went on leave at my old job for a few months because of the internship. I have not worked both at the same time, but am still technically an employee of the first job during this time. On the internship's W-2 for both state and federal (MN for state) do I have to report I am working two jobs, even though I am only working at the one?