The People says Hodgson wants to blood more youngsters in the build-up to the World Cup finals in Brazil, with West Brom striker Berahino and Norwich City winger Nathan Redmond at the top of his list.
Hodgson is keen for the two England Under-21 players to be involved with his senior squad for the November friendlies against Chile and Germany at Wembley.
Burundi-born Berahino, 20, only made his Baggies debut in August when he scored a hat-trick against Newport in the Capital One Cup.
He has since scored in Albion's win at Manchester United and netted four goals in three appearances for Gareth Southgate's Under-21s.
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