TRIPOLI—Libya's oil industry will be prepared to resume production within two weeks, while the rebel council is considering keeping their headquarters in Benghazi, said Oil and Finance Minister Ali Tarhouni, who has established himself—in a plush office left behind by the Gadhafi regime—as a key figure in the country's transition.

A decision to keep the seat of power in the eastern base of the rebellion against Col. Moammar Gadhafi could sharpen regional rivalries and make it harder for leaders to convince their countrymen...