It's possible he could throw on Wednesday out of the bullpen as well, according to manager Bryan Price.
"There's chance he'll go to back-to-back," Price said, according to cincinnati.com. "As I say, everything is day to day. He's got to get through one before the other."
Chapman started two rehab games for Class A Dayton, his first game action since suffering a head injury in March, and felt "normal" after those outings.
The left-hander was hit on the forehead by a line drive during a spring training game in Arizona on March 19. He had a plate inserted above his left eye and nose to help fractures heal. Chapman was one of eight Reds who opened the season on the disabled list, the most in the majors.
Jonathan Broxton is closing games in his absence.
Chapman finished with 38 saves for the Reds in each of the past two seasons.
The Associated Press contributed to this report.