Mr Trump frequently praised Mr Homan during the campaign, and Mr Homan often hit the trail to rally supporters.
In an interview on Fox News Channel’s Sunday Morning Futures programme, Mr Homan said the military would not be rounding up and arresting immigrants in the country illegally and that ICE would move to implement Mr Trump’s plans in a “humane manner”.
“It’s going to be a well-targeted, planned operation conducted by the men of ICE. The men and women of ICE do this daily. They’re good at it,” he said.
“When we go out there, we’re going to know who we’re looking for. We most likely know where they’re going to be, and it’s going to be done in a humane manner.”
Earlier this year at the National Conservatism Conference in Washington, Mr Homan expressed frustration at the news coverage of a mass deportation operation.
“Wait until 2025,” he said, adding that, while he thinks the government needed to prioritise national security threats, “no one’s off the table. If you’re here illegally, you better be looking over your shoulder”.
He also said: “You’ve got my word. Trump comes back in January, I’ll be in his heels coming back, and I will run the biggest deportation operation this country’s ever seen.”
The president-elect is meeting with potential candidates to serve in his administration before his Jan. 20 inauguration as president.
CNN reported on Sunday that Mr Trump had also offered Republican Representative Elise Stefanik the job as US ambassador to the United Nations.