As of Friday, 65,800 men and women had applied to serve in the Trump administration through the website GreatAgain.gov, transition officials said.
The 16-person group, whose membership was announced Friday, will meet for the first time at the White House in early February.
Republicans say they're concerned the Obama administration may go on a hiring spree before leaving office.
Sore winners, sore losers and the press in the crosshairs
"Save Medicare for another day,” said Sen. Lamar Alexander (R-Tenn.), chairman of the Senate health committee. “We can't do everything at once, and we shouldn't try."
Reid's last big day in office is expected to conclude next week with a gala in the Kennedy Caucus Room in the Russell Senate Office Building.
The House passed the defense policy bill and the Senate is expected to follow suit next week, but it is not yet clear if Obama will sign.
The situation is unlikely to improve in Donald Trump's presidential administration after his loud vows on the campaign trail to curtail Muslim immigration to the United States, which helped foster anti-immigrant sentiment.
Members of Congress took the U.S. Department of Agriculture and its Forest Service to the woodshed Thursday, following years of sexual harassment and whistleblower retaliation complaints.
Liberal groups launched a service that connects people with a random Trump property via phone, allowing them to air their concerns about his upcoming presidency.
The announcement sparked speculation that she could be on the shortlist for a Cabinet job, most likely as energy secretary.