Same thing happened in 2016, the last day the odds crossed over with a bet for Hilary getting much better odds than a bet for Trump. I expect we'll see that tonight or tomorrow morning.
p.s. Whatever you do do NOT pay attention to exit polls. They will use fake exit polls from the early states to try and break the resolve of Republicans voting in the later closing states.
I believe reporting of actual vote counting won't start until the polling booths close in Alaska which is 5 PM Melbourne time. Pretty soon after that we should be getting the actual vote counts for the earlier states like Kentucky, Indiana, South Carolina etc. The table below shows closing times of the voting in each state:
