SANA has published a photograph of the first woman, 43, and her husband, Bashar al-Assad, during what appeared to be a treatment session.
The agency said: "According to the picture published by the press office, Asma is receiving treatment in a military hospital in Damascus."
Asma al-Assad is the mother of three boys; boys and girls. Her father, the eminent cardiologist in Britain Fawaz al-Akhras, and her retired Syrian diplomatic mother Sahar Otri.
Asma al-Assad often appears in videos and photographs while she is sponsoring social activities, including meetings with the families of the dead and wounded, or honoring students and visiting associations.