Donald Trump has asked Alabama Senator Jeff Sessions to be attorney general, the BBC reports, quoting US media.
Senator Sessions, a former prosecutor elected to the Senate in 1996, has been one of Mr Trump’s closest allies throughout the campaign.
Meanwhile, retired three star lieutenant general Michael Flynn is understood to have accepted the position of national security advisor.
Both men have courted controversy over their views previously.
However, Mr Trump has yet to confirm the appointments himself.
Transition officials, speaking on condition of anonymity, have said Mr Sessions and Mr Flynn have been offered posts in the new administration.
However, Republican National Committee spokesman Sean Spicer, who is involved in the Trump presidential transition, would not confirm the reports on CNN.
“Until Donald Trump says it, it’s not official,” Mr Spicer said.