Rodón went on the 15-day IL on Aug. 7 with a left hamstring strain.
Boone also said Luis Severino, who has struggled mightily throughout the summer, is scheduled to make his next start the following Wednesday.
The Yankees have lost five straight games and dipped below .500 (60-61) ahead of this weekend's home series against the Boston Red Sox. Jhony Brito, who has split his time between the majors and Triple-A, was named the starter for Friday's season opener, with Gerrit Cole and Clarke Schmidt to follow.
Rodón, 30, is in the first year of a six-year, $162 million contract signed in December. After making consecutive All-Star Games with the Chicago White Sox in 2021 and the San Francisco Giants in 2022, Rodón missed the first three months of 2023 with forearm and back injuries before making his team and season debut July 7.
In six starts, Rodón is 1-4 with a 7.33 ERA and has allowed eight home runs in 27 innings.
Severino is 2-8 with a 7.98 ERA in 15 games this season. The two-time All-Star gave up seven or more runs on three occasions in July; he is 1-6 with an 11.08 ERA in eight outings since July 1.
Speculation was rampant that two of the organization's top prospects -- outfielders Everson Pereira and catcher Austin Wells -- would be called up to make their major league debuts after both players did not play Thursday for Triple-A Scranton/Wilkes-Barre.
Neither player was recalled Friday, with Boone telling reporters that the pair of prospects were on the Yankees' radar.
"Those guys are obviously knocking on the door," Boone said. "... Those are guys that are pushing their way into the conversation. We'll see where we are as we continue to move forward."