Zinke, an ex-Navy Seal commander, has yet to accept the offer and has not yet indicated whether he intends to do so, Politico reported. He is reportedly also in talks to run in 2018 for the Montana Senate seat now held by Jon Tester (D-MT).
Both Trump's transition team and Zinke's office declined to comment, according to Politico.
Zinke was an early supporter of Trump, endorsing him in May on "Fox and Friends." Zinke is a supporter of the outdoors and hunting, and Theodore Roosevelt Conservation Partnership President Whit Fosburgh told The Washington Post that the partnership would be supportive of his nomination.
“He’s shown courage and commitment to public lands and conservation, and someone we think would be an excellent secretary of Interior,” Fosburgh told the paper.