The young defender has impressed in the absence of Leighton Baines.
With Leighton Baines out injured from the start of the season, the youngster has enjoyed an extended run in the first team.
He has grasped his opportunity with both hands as well, looking more than comfortable in the Premier League.
Indeed, his performances have been most welcome, with them allowing the club to give Baines all the time he needs to recover from his injury properly.
He could, though, have earned himself a new bumper deal with his displays, with manager Roberto Martinez keen to reward him, reports the Guardian.
The 19-year-old only signed a five-year deal when joining from MK Dons in 2014, but this new contract would likely see him receive terms worthy of his new found status.
Given how well Galloway has performed so far this season, not many would argue against a new deal.
It could be a wise move from the club, with it looking like they are keen to reward youngsters for positive performances.
That could act not only as a boost to Galloway, but also the rest of the Everton squad and those looking to break through from the youth setup.