Employment dates on resume question?

Hi, I have a strange work history. At one of my previous positions, I was laid off due to a change in management. The new management was slated to take over in January and we were interviewed by this company in December, the previous month. The company did officially hire me in December but myself and my fellow employees were still employed with our old organization up until January.

As a result, the two employment entries on my resume "intersect," so to speak. Since I am honest on every job application and resume, I indicate when I was hired and let go. Will future employers look at this and disregard me? How do I explain the "working at the same place but under new management" thing in interviews?