The season is due to restart in August after being suspended in March due to the coronavirus pandemic.
The back-to-back and reigning Olympic gold medallist expressed fears about switching surfaces quickly after the campaign was dramatically rescheduled due to COVID-19.
The tournament in NY is due to be followed by the re-arranged French Open from September 27 to October 11 in Paris, which was moved from its original dates in May and June.
The clay-court swing will begin on September 8 in Kitzbuhel, Austria with Masters tournaments in Madrid and Rome beginning on September 13 and 20, respectively.
Murray suggested he may skip the Western & Southern Open - scheduled for the week before the US Open - and instead play in Washington the week prior.
The men's clay-court swing will start on Sept 8 in Kitzbuhel, followed by Masters tournaments in Madrid and Rome on Sept 13 and Sept 20.
The US Open will be immediately preceded by the hard-court Cincinnati Masters, from August 23 to 30.
"It's not safe for players to go from the semis or final in NY, quarters even, and then you're playing on the Tuesday in Madrid at altitude on the clay court, when players haven't competed for a very long time". "You're going to have the potential where a lot of top players are not competing at numerous biggest events".
Murray's concerns were echoed by Rafael Nadal's uncle and long-time former coach Toni.
Andy Murray said tennis' decision-makers will have to "think long and hard" about the rankings system as the former world number one predicted many of his fellow professionals will have to pick and choose among the top-tier events.
"I think it is a bit ugly what the ATP has done".
"I have spoken to Rafa and he is doubting which tournaments to play".
"It might be worth looking at a two-year ranking for the time being maybe so that guys who have done well last year and are sort of not really able to defend their points properly arent kind of punished", the twice Wimbledon champion said.
"You're going to have the potential where a lot of top players are not competing at numerous biggest events".