"The operation cannot be performmed because the desktop is invisible" error

The error stated in the subject field happens as follows:

Test Complete is executing a keyword testcase against a web application on a REMOTE PC. I am accessing that REMOTE PC via the Windows Remote Desktop feature. The above message occurs whenever I minimize the REMOTE DESKTOP window associated with that REMOTE PC. 

While in REMOTE DESKTOP, the testcase is still running on that system. However, Test Complete must be sensitive to the fact that the window associated with the REMOTE DESKTOP session is no longer visible. Is there a way around this problem, or must the REMOTE DESKTOP window ALWAYS remain VISIBLE, (not minimized or closed) while the testcase is still running?

If I was using the Test Execute software to run this testcase, would I have the same problem, and if so, is there a workaround for that similar problem?