The 22-year-old Yorkshireman has a first class average of 46.37 and has played six one-day internationals for England, making his debut against India in September 2011, and has won six international T20 caps.
Durham pace bowler Graham Onions is the only other player named who did not play a Test last winter and is one of five seamers included in the squad.
“This is an important period for us following a challenging winter where we learnt some valuable lessons and we are preparing for a highly competitive series against a West Indies side full of quality players,” said national selector Geoff Miller.
“We have selected a very strong 13-man squad which allows us to consider a number of options before making a decision about Thursday’s side. We have included five seam bowlers who have all demonstrated that they are capable of winning Test matches for England.
“Jonny Bairstow has put in a number of impressive performances both for England Lions and Yorkshire and has been working hard on the England Performance Programme over the last couple of years. He is an exciting young player who now has an opportunity to experience the Test environment.”
Andrew Strauss (Middlesex) (captain), James Anderson (Lancashire), Jonny Bairstow (Yorkshire), Ian Bell (Warwickshire), Tim Bresnan (Yorkshire), Stuart Broad (Nottinghamshire), Alastair Cook (Essex), Steven Finn (Middlesex), Graham Onions (Durham), Kevin Pietersen (Surrey), Matt Prior (Sussex), Graeme Swann (Nottinghamshire), Jonathan Trott (Warwickshire).
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BIOGRAPHY: Cesc Fabregas