"Lee got a tug on his ankle and we will just have to wait and see how it settles down," said manager Steve Tilson.
Meanwhile, Southend's clash with Walsall, originally scheduled for January 9, will now be played on February 23.
Wayne Rooney has returned to Everton after 13 years at Manchester United.
Germany defender Antonio Rudiger has joined Chelsea from Roma on a five-year contract.
Wayne Rooney has returned to Everton after a record-breaking career at Manchester United.