Murray beat Rosol during a bad-tempered encounter at the Munich Open last year when the Scot shouted to his opponent: “No one likes you on the tour, everyone hates you.”
The outburst came after Rosol appeared to barge into Murray at a change of ends and Murray was unrepentant afterwards, explaining: “If you get pushed around then you stick up for yourself.”
The draw on Friday at Flushing Meadows has now pitted the pair together again but Murray was adamant they have patched up their differences.
“Yeah I mean, I spoke to him after the match last year, it was fine,” Murray said.
“Afterwards I just - obviously a few things happened when we were on the court - but we spoke after the match and that was it.
“I have actually got along fine with him apart from that day and he’s a tough, tough opponent obviously.
“He’s a big, strong guy, he goes for his shots and he takes a lot of risks. It’s a tough opening round, for sure.”
Murray arrives in New York as the man in form after winning his third grand slam title at Wimbledon and following that up by clinching a second singles gold medal at the Olympics.
The snag of his success, however, is fatigue. The Scot has played 57 matches already this year and reached the final of the last seven consecutive tournaments he has played.
Murray said after falling at the last hurdle in Cincinnati on Sunday that he had been carrying a shoulder injury during the week, and while it is understood that has now eased, he says tiredness has been an issue.
“It was hard, going from Rio to Cincinnati,” Murray said.
“I didn’t feel great when I was there. Luckily I won a few quick matches and that helped.
“But I was tired in Cincinnati and, obviously I was disappointed to lose in the final, but I was pumped to reach the final. I didn’t expect that the way I arrived from Rio and how I was feeling after that.
“That’s why this week, it was very important to rest, take time to let your body recover and is just important to do the training you do away from the court.
“That’s something that I have learned as I got older; whereas before when I was younger it was different. I trained sometimes too much maybe and didn’t listen to my body enough.”