Hussein told Al-Qabas daily he hopes "the new oil minister will provide the political cover for the massive change" introduced to the oil sector last week.
"I am comfortable by all standards, I have performed my duties... I hope the oil sector will be relieved of political pressures," he told the newspaper.
Al-Qabas said an official announcement of the minister's resignation will be made later today.
Hussein, a veteran oil executive and the former KPC chief, has been oil minister for the past 15 months.
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After the election of the new parliament in December, Hussein was regularly targeted by a number of MPs over a variety of alleged violations.
A lawmaker filed to grill him in February but parliament agreed to delay the debate until the next parliamentary term in late October.
A second request to grill the minister was filed two weeks ago after the oil-rich Gulf state paid USD 2.2 billion to Dow Chemical as a penalty for pulling out of a USD 17.4-billion joint venture in December 2008.
The move plunged Kuwait into renewed political crisis after two other MPs filed another request to grill the interior minister. The government boycotted parliament sessions on May 14 and 15 and all ministers offered to resign.
Al-Qabas said Hussein was given the choice of facing the questioning in parliament due for tomorrow or resigning, and he chose the latter.