With many businesses already closed and expected to stay shut through Sunday, when the storm is predicted to be right over New York, Murray was among thousands of people stocking up on supplies yesterday.
There is a feeling the precautions may be an overreaction to the threat but the world number four believes it is the right course of action.
He said: "I think people are right to be pretty cautious about it, because we don't see weather like this in the UK. It's never this bad. So I think we'll just have to wait and see what it's like, because I have no idea what to expect.
"We had to go and get stuff from the supermarket for the room because loads of places are going to be closed. There was a two-and-a-half-hour queue at the supermarket, so everyone's taking it pretty seriously."
There has been round-the-clock coverage of the impending storm for a number of days in the US and, like all the players preparing for the US Open, Murray has had to be very flexible with his practice schedule.
"We've known about it for quite a while now," he said. "It's been five or six days everyone has been talking about it, so I'm just looking forward to it passing now.
"We have had to make quite a few changes and I have practised indoors a couple of times, and again tomorrow I've got an indoor court.
"So it's been tough. Everyone's in the same boat. But it's been good. I have been hitting the ball well and done some good training this week."
The Scot, though, is running out of patience with his fellow players and their constant references to British weather.
He added: "I was speaking to some of the guys about it when it started raining, and everyone comes up and it's like, 'Oh, it's typical. It feels like we're at Wimbledon'.
"It rains here every single year, so it's annoying. And because I'm from the UK, everyone always says the same thing to me."
While tournament organisers can do little about the weather - and there is a very real possibility the start of play will be delayed on Monday if the rainfall and flooding is as severe as predicted - Murray has been frustrated by the length of time it takes to make the courts playable.
The courts at Flushing Meadows do not have covers, so the water needs to be cleared off as soon as the rain ceases, which can be a time-consuming process.
Murray said: "I don't understand why they don't just have covers. I heard that if they have covers, something to do with the paint on the court and the moisture and it's not good for the court, the court can lose colour or something.
"I'm sure they are thinking about doing something, but like most things, it takes a bit of time to push it through I guess."