Arsenal defender Gibbs is out of the squad having suffered an injury in the Premier League match at West Ham United with Chelsea defender Bertrand added and Liverpool midfielder Shelvey promoted from the England Under-21 squad.
Left-back Gibbs was forced out of Arsenal's 3-1 win at West Ham United with a thigh strain.
The uncapped Shelvey had been banned for the Under-21 European Championship play-off first leg against Serbia.
Shelvey has apparently been called up as cover for Chelsea midfielder Frank Lampard, who is struggling with a knee injury.
Regular left back Ashley Cole, charged with misconduct by the FA on Monday for a foul-mouthed Twitter comment about the organisation, joined up with the squad as normal ahead of the San Marino game at Wembley on Friday and the October 16 trip to Poland.
England coach Roy Hodgson raised eyebrows when calling up uncapped duo Raheem Sterling of Liverpool and Adam Lallana of Southampton for last month's Group H qualifier against Ukraine and Shelvey's addition this time is another surprise.