Coach Kevin McHale said Howard's playing time would be "in the low 30s", per ESPN.
Howard has yet to play more than 28 minutes in any game since returning from knee surgery, but it appears the Rockets are confident enough to increase his workload.
With Howard having played Sunday, the team did not want to play him in consecutive nights. Center Joey Dorsey will start in place of Howard.
The Rockets are 11 1/2-point favorites.
Howard was alleged to have caused bruises on his then 6-year-old son, no charges were filed in Atlanta or in Florida, where the case was originally investigated.
Howard's attorney filed a motion for contempt and enforcement to sanction Howard's former girlfriend Royce Reed for releasing private information about a child. In November, Howard filed a motion seeking sole custody of the boy, a motion still in litigation.
Earlier in the week, the team said that Howard would be rested in one of the upcoming back-to-back games. Howard's availability on Sunday means that he will sit out Monday's game at the Hornets.
The Rockets are 5 and a half point favorites at home against the Pelicans.