The 21-year-old could make his debut in the Euro 2016 qualifier with Slovenia at Wembley on 15 November.
Berahino, who was born in Burundi, has scored seven goals in 10 Premier League matches for the Baggies this season.Michael Carrick, Stewart Downing and Theo Walcott are also included in a 26-man squad for the Slovenia game and friendly in Scotland on 18 November.
Hodgson said Berahino had been in contention for the recent qualifiers against Estonia and San Marino.
“He was obviously in our minds but we didn’t choose him because of the importance of the two under-21 qualifiers against Croatia,” said Hodgson.
“But this time they only have a friendly match, so there’s no reason to pass over his credentials yet again.”
Wayne Rooney will earn his 100th cap.England are top of their qualifying group, having won all three games.
Slovenia are second, with two wins and six points.”They have a lot of players who play for top clubs in Europe,” said Hodgson. “We regard them as a very serious rival.”
England squadGoalkeepers: Fraser Forster (Southampton), Ben Foster (West Brom), Joe Hart (Manchester City).
Defenders: Leighton Baines (Everton), Gary Cahill (Chelsea), Calum Chambers (Arsenal), Nathaniel Clyne (Southampton), Kieran Gibbs (Arsenal), Phil Jagielka (Everton), Luke Shaw (Manchester United), Chris Smalling (Manchester United).
Midfielders: Ross Barkley y(Everton), Michael Carrick (Manchester United, Stewart Downing (West Ham), Jordan Henderson (Liverpool), Adam Lallana (Liverpool), James Milner (Manchester City, Alex Oxlade-Chamberlain (Arsenal), Raheem Sterling (Liverpool), Andros Townsend (Tottenham), Jack Wilshere (Arsenal), Theo Walcott (Arsenal).
Forwards: Rickie Lambert (Liverpool), Wayne Rooney (Manchester United), Daniel Welbeck (Arsenal), Saido Berahino (West Brom).
