He said Punjab Chief Minister Captain Amarinder Singh should advise his cabinet colleague to refrain from doing the popular TV show.
The 53-year-old cricketer-turned-politician is a special judge on the popular 'Kapil Sharma Show'.
The top law officer, while speaking to a TV channel, said there was no provision in the Constitution to disqualify an MLA
or minister if he engages in private business, adding that "there is a moral and ethical responsibility as per which a public servant must disassociate from any commercial activity."
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"If a gentleman continues to do so, while there might not be a legal bar, it is the duty of the CM or the PM (as the case may be) to advise his minister and take remedial action," Rohatgi said.
The Attorney General's response came hours after Punjab Chief Minister Amarinder Singh said he has no problems in Sidhu continuing to work in television, if it was allowed as per legal and constitutional provisions.
The CM, however, said, he may have Sidhu's portfolio as Culture Minister changed in case of a conflict.
Sidhu is in the centre of a row over his television stint despite being a minister in Punjab. He has nevertheless expressed willingness to continue with his show, saying he has to earn a living for himself.