A senior Republican official, speaking on the condition of anonymity to disclose private deliberations, said Romney's team was discussing sending the GOP nominee, Ryan or both to traditionally left-leaning Minnesota during the campaign's final week.
Obama was briefed Sunday on the government's response at the headquarters of the Federal Emergency Management Agency and spoke by phone to affected governors and mayors.
"Anything they need, we will be there," Obama said. "And we are going to cut through red tape. We are not going to get bogged down with a lot of rules. We want to make sure that we are anticipating and leaning forward."
Obama has declared emergencies in Massachusetts, Connecticut, Rhode Island, New York, New Jersey, Pennsylvania and the District of Columbia, authorizing federal aid to supplement state and local response efforts.
Both campaigns used social media to urge supporters to donate to the Red Cross and said they would stop sending fundraising emails on Monday to people living in areas in the storm's path.
Romney staffers in North Carolina, New Hampshire, Pennsylvania and Virginia were collecting storm-relief supplies at campaign offices to be delivered via one of Romney's campaign buses. In an email, Romney encouraged supporters in the storm's path to help neighbors get ready.
"For safety's sake, as you and your family prepare for the storm, please be sure to bring any yard signs inside," the email read. "In high winds they can be dangerous, and cause damage to homes and property."
Pickler reported from Washington. Associated Press reporters Steve Peoples in Mansfield, Ohio, and Ken Thomas in Washington contributed to this report.