A senior hospital official said a makeshift ICU has been set up at his home, where a critical care expert and medicine specialist will monitor his health.
He has responded well to the treatment and as per the plan, he would be discharged but will continue to be under observation at home, they said on Monday.
Buddhadeb Bhattacharjee was put on mechanical ventilator support at the critical care unit of the private hospital on Wednesday.
On Friday, Bhattacharjee, 76, met his wife and daughter and communicated with them satisfactorily.
The veteran CPI(M) leader has been suffering from chronic obstructive pulmonary disease and other age-related ailments for quite some time now.
CPI(M) Legislature Party leader Sujan Chakraborty, however, appreciated the governor's effort to meet Bhattacharjee.