Baker said the procedure will take place Wednesday in Texas.
"He took it as well as a young man can take it," Baker said. "This his first surgery. I talked to him for a long time today, and I told him he has to have a positive outlook. That first one is always tough. I also told him to talk to a couple of guys who have had it."
The Nationals placed Ross on the 10-day disabled list on Friday. An MRI confirmed the elbow damage.
He left his last start on July 9 against the Atlanta Braves after 3 1/3 innings when his velocity was lower than normal. He had an MRI later that day.
He was 5-3 with a 5.01 ERA in 13 starts this season.
Information from The Associated Press was used in this report.