Jones exits after three years with the organisation, where he reported to London Underground director of strategy Richard Parry and Transport for London (TfL) group marketing director Chris Townsend.
There are no plans to replace Jones until after the review, which is also examining how London Underground interacts with TfL's comms function. The two organisations merged three years ago.
Jones's role oversees 15-strong internal comms team, plus a ten-strong stakeholder relations team (headed by Julie King), and a marketing comms team (headed by Liz Norris). Both will now report to Parry.
London Underground's 12,500-strong workforce of train drivers and station staff is heavily unionised and spread across 275 stations and 253 miles of track.
‘The employee comms team plays a significant role in LU and the head of comms has responsibility for it.
Consequently we are waiting to complete the review before we decide what to do with Andrew's role. ‘But there are no immediate plans to replace him,' said Parry.
Jones is to join the Charities Aid Foundation as executive director of external affairs and policy.
He joined London Underground in 2003 from Camelot where he was head of public affairs. Before that, he was a senior press officer at the Department for Education and Employment.
London Underground created a roster of three PR agencies – Consolidated Communications, Cohn & Wolfe and The Idea Generation – earlier this year to help rebuild customer confidence in the Tube network (PRWeek, 13 January).
LU previously worked with Bite Communications.