To be honest it depends what the heat sinks like and what the airflow in the case is like (if there is any)
Also it depends what the environment around the PC is like, whether the PC is going to be left under full load 24/7 and whether there's a lot of dust in the case.
If it's a pretty big heatsink, there's an extractor fan on the power supply nearby and the case is generally free of dust / excessive cabling then you might be all right, although I'd leave it stressing for a day or so before you start using it for anything "mission critical" just to make sure that the heat won't build up and cause the thing to shutdown/fry.