When I added sand to my 55 a while back, I rinsed it till the water ran clear, then rinsed it some more. It still clouded the water badly (looked like dirty river water). I left the filter off for 2 hours, but the filter still picked up sand & stopped working for a while. In the end, I had to leave the filter off for 3 days due to the sand. Fortunately there were no fish in or needing the tank at the time.
If your *dirt* problem is caused by sand, I'd say wait. If not, I can't see what it would hurt to run it.
In the end, the water cleared, but it took nearly a week for it to do so fully.
Best of luck.