This is what the New York Times is reporting:

WASHINGTON — Vice President-elect Mike Pence will take over the job of leading Donald J. Trump’s transition effort, taking the helm from Chris Christie, the governor of New Jersey, as Mr. Trump moves to assemble a government after his stunning upset victory, several sources close to the transition team said on Friday.

Mr. Christie had been in charge of the transition for the last several months, but the surprise nature of Mr. Trump’s victory made it critical to move more quickly to assemble a team.

The president-elect told advisers he wanted to tap Mr. Pence’s Washington experience and contacts to help move the process along, according to people familiar with the discussions. An executive committee, which will include members of Congress, will advise Mr. Pence as the process moves forward.