He will undergo the surgery on September 13 to cure his chronic cough problem.
He will take a 10-day rest there.
"Before leaving for Bengaluru, the CM will embark on a 4-day visit to Punjab starting from September 8. He will meet party leaders and address public gathering in Punjab.
"Thereafter, he will leave for Bengaluru on September 12 and undergo surgery next day. He is expected to come back on September 22," said a senior government official.
In his absence, Deputy Chief Minister Manish Sisodia will look after the chief ministerial works.
Sisodia is also expected to visit Goa on September 7, where the Aam Aadmi Party is gearing up for Assembly elections next year.