Raheem Sterling was sent off against Ecuador last week which meant he was denied the chance to impress in the last warm-up match against Honduras on Saturday.
Sterling, who is primarily used as a winger, was brought in-field by Liverpool boss Brendan Rodgers towards the back end of last season, and the 19-year-old winger impressed with a series of eye-catching displays.
The teenager scored nine goals and five assists in 33 appearances last season, and at a training session on Tuesday afternoon, Three Lions boss Hodgson experimented with Sterling in a central position, with Wayne Rooney out wide.
Meanwhile Manchester United striker Danny Welbeck finished the session half an hour early with what was said to be a thigh strain.
Should Hodgson opt against using Sterling centrally, the Liverpool youngster could be set to replace his Three Lions colleague in a wide left position.
The report quotes Hodgson as saying: "These two sessions will give a chance for us to do some serious work with the players because on Thursday I will have to be aware of the fact that they have travelled and on Friday it's the day before the game.
"You can't really do the type of training sessions I would like to do so close to the game and what's more in such a public arena."
England begin their World Cup campaign against Italy in Manaus on Saturday, before coming up against Uruguay on June 19.
They conclude the group stage with a match against Costa Rica on June 24.