The loan signing from Everton is in contention to start.
Hodgson said that Tosun is injury free and added: "If I choose him tomorrow I don't have any doubts he'll be ready for the task.
"He is in contention to be in the squad. I'm very grateful to Everton and Crystal Palace for getting that done so quickly to make him available because we still have eight players unavailable and that's a lot of players not to be able to even consider. It's great to have someone like him which I think will boost everybody, not just the players and people like myself and the coaching staff and the Chairman who's put out a statement, it will also boost the fans.
"He was very well received by the players in a very light session today. He's full of enthusiasm because he's desperate to get on the field to show what he can do, especially with the Euros coming up. As Turkey's top scorer, he feels that he needs to get some game time to make sure he's hitting the ground running for the Euros this summer."