As you can see, sunrise may interfere with totality, but you should be able to see much.
My calculations (using the program XEphem from the Clear Sky Institute) are as such:
Moon enters Earth's penumbral shadow: 4:52 am
Moon enters Earth's shadow: 5:49 am
Moon reaches total coverage: 6:54 am (after the sunrise)
Jay C. "Jazzy_J" Theriot