Parrikar, 62, was flown to Mumbai and admitted at the Lilavati Hospital last evening for a check-up. From there, he will be taken to the US for treatment in the early hours tomorrow.
In the letter, Parrikar also informed the governor about the interim arrangement of a Cabinet advisory committee to guide the state administration.
The letter says that he would be chairing the meeting of the council of ministers, whenever it is held, through video conferencing from abroad.
He said that during his absence in the state, the meeting of council of ministers whenever held shall be presided over by him through video conferencing or by circulation.
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"If that is not possible for any reason, or I may decide at later point of time, the minister nominated by me shall preside the meeting and I will separately instruct the chief secretary in such exigency," the letter adds.
"The committee shall meet at least once a week, at such point of time and place, and is empowered to decide unanimously amongst themselves on certain important financial year ending issues.
"The committee shall consult the finance department before taking any financial decisions," Parrikar said in the letter.
Parrikar was admitted to the Lilavati Hospital in Mumbai on February 15 and discharged on February 22. On the same day he returned to Goa and presented the Budget in the Assembly, but the session was truncated to only four days owing to his illness.
Before leaving for Mumbai yesterday, Parrikar held a series of meetings, including one with senior state ministers.
Earlier in the day, Goa BJP general secretary Sadanand Tanawade said that Parrikar will fly to the US tomorrow for further treatment.
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