Baker, 21, was born in England but qualifies for Wales through his mother.
He has five Wales Under-21 caps.
Page had already selected five uncapped players – including Liverpool forward Lewis Koumas in his final squad of the season.
The 18-year-old is set to follow his midfielder father Jason as a full Wales international, while there is also a call for another teenager in the shape of 17-year-old Leeds United midfielder Charlie Crew.
Coventry City’s Jay Dasilva and fellow defender Fin Stevens, who has impressed on loan with Oxford United from Brentford, plus Wolverhampton Wanderers goalkeeper Tom King are the other uncapped players.
