Ali spokesman Bob Gunnell said Monday that Ali's doctors hope to discharge him soon from the hospital where he was admitted on Saturday.
Gunnell has declined to say where the 72-year-old Ali is hospitalized. He has indicated that Ali's bout of pneumonia was caught quickly.
Ali's relatives say they appreciate all the prayers and well wishes for the three-time world heavyweight champion.
Gunnell says no other details are being released because of the Ali family's request for privacy.
Ali has battled Parkinson's disease for years.
Ali and his wife, Lonnie, have homes in Arizona, Michigan and Louisville.
Muhammad Ali Has 'Mild' Pneumonia
Boxing great Muhammad Ali has been hospitalized with a "mild" case of pneumonia, and his hospital stay is expected to be short.