In order to correct this, you need to reinstall the hour and minute hands properly. No way of correcting it without decasing the movement/opening the watch. You need hand removal tools, dial protector and hand setter on top of basic tools such as caseback opener, screwdriver, tweezer, etc. If the problem didn't annoy you, it's OK.
I have heard story even a gen Omega SMP has date change at 3 o clock in the morning.