Evans has contested two high-level Challenger finals and notched up three qualifying wins in New York, earning him a first-round clash with 11th seed Kei Nishikori tomorrow.
Murray believes Evans can do even better as long as he keeps working.
The Scot said: “It’s quite clear. He’s consistently playing at a high level.
“If he can maintain that form for eight, nine months of the year then he will get himself up and around the top 100 for sure.”
While Evans is straight into the action Murray may have to wait until Wednesday to begin the defence of his title against Michael Llodra.