Warwickshire all-rounder Woakes and Surrey batsman Pope are added to group that will prepare for the fifth Test that starts on Friday in London.
England wrapped up a 3-1 series success with their 60-run victory in the fourth Test in Southampton.
That sets the stage for Essex batsman Cook to take the spotlight on what will be the former England captain's final appearance for his country.
Joe Root (Yorkshire, capt), Moeen Ali (Worcestershire), Jimmy Anderson (Lancashire), Jonny Bairstow (Yorkshire), Stuart Broad (Nottinghamshire), Jos Buttler (Lancashire), Alastair Cook (Essex), Sam Curran (Surrey), Keaton Jennings (Lancashire), Ollie Pope (Surrey), Adil Rashid (Yorkshire), Ben Stokes (Durham), Chris Woakes (Warwickshire)
The 33-year-old, who announced his retirement plan on Monday, has scored an England record 12,254 runs, including 32 centuries, in his 160 Test matches.
England's squad is the same line-up that faced India in the fourth Test plus the additions of Woakes and Pope.
It offers few clues as to the long-term direction of the batting order once Cook departs.
Who plays as wicket-keeper remains uncertain, with Jos Buttler having stepped into the role in Southampton given Jonny Bairstow was struggling with a broken finger.
Pope will link up with England on Thursday, after playing for Surrey in the first two days of their County Championship division one clash with Essex in Chelmsford.