Presently, when browsing in a Firefox private session, entries are added to the machine's DNS cache, listing the web site names visited during the session. These entries remain in the machine's DNS cache after the private session ends, thereby leaving browsing traces for anyone with access to the machine's DNS cache, for example, by using Command Prompt. So, for the private session to actually not leave any traces behind, no entries into the DNS cache should be allowed, or the DNS cache should be flushed when the session ends.