We will need some more info to find what that might be, so please answer the following:
1. Are you using Skype in compact view or in the default view?
2. When in video chat do you use anything other than what is shown by default, for example pop-out video? If you do, are you expecting it to record the pop-out video/other video screen?
3. Can you show us a side-by-side screenshot of what you see on your desktop and what is being recorded? Please blank out any personal information, like Skype name(s). You can attach it to your post.
4. Additional information: OS and Skype version