A number of high-profile supporters of President-elect Barack Obama are being floated as possible candidates for spots in his Cabinet, according to Obama advisers who spoke to Politico.

Robert F. Kennedy Jr., a lawyer for a nonprofit environmental group and the son and namesake of the late New York Democratic senator and U.S. attorney general, is being strongly considered for leadership of the Environmental Protection Agency in an Obama administration, according to Politico.

Democratic officials told Politico that President-elect Barack Obama is considering Mr. Kennedy, an environmental activist and lawyer who represents Riverkeeper, an environmental watchdog organization that protects the Hudson River and Long Island Sound. Mr. Kennedy, who has also worked as an assistant district attorney in New York, has long championed the cause of a clean-water supply for that city.

Among...