Rebekah Brooks is expected to return to News Corp as chief executive of its U.K. division, a position similar to the one she resigned from in 2011 amid the phone-hacking scandal at the now-defunct British tabloid the News of the World, according to a person familiar with the matter.

Separately, Britain’s Crown Prosecution Service on Friday said it is reviewing a police referral related to possible criminal “corporate liabilities” in the long-running investigation into phone hacking at the tabloid. A spokeswoman for the CPS,...