Indian actress and model Aishwarya Rai Bachchan and her daughter have been hospitalised after testing positive for Covid-19.

Along with her, her father-in-law Amitabh Bachchan and husband Abhishek Bachchan were admitted to Mumbai's Nanavati Hospital just days before.

Both mother and daughter were "fine", the PTI news agency reported, quoting hospital sources. Amitabh and Abhishek were also reported to be stable with mild symptoms of the virus when they were admitted to the hospital's isolation ward.

Amitabh has been regularly sending Twitter messages since his hospitalisation.

"In happy times, in times of illness, you our near and dear, our well wishers, our fans have ever given us unstinting love, affection, care and prayer," Amitabh posted on Friday.

Fans across India prayed for the celebrity family as the virus continued its rapid spread without any sign of a peak.

Aishwarya has worked in several Bollywood and Hollywood films. She is a brand ambassador for many multinational companies.