Those two results have seen the majority of bookmakers install her as the big favourite to win at Flushing Meadows for a third time.
However, the current world number four has insisted that she does not feel any extra pressure.
"You've got to embrace it whether you're the favourite or the one to beat or whether you are not," she said.
"I embrace it. In Wimbledon I wasn't the favourite, I embraced that. Hopefully I can do my best here.
"I don't feel pressure. My dad said the only pressure you have is the pressure you put on yourself. If I win, that would be great. If I lose, I realise I'm going to go home and be devastated. But there's always tomorrow."
Williams last won the US Open singles title in 2008.