Manchester United winger Ashley Young scored the only goal to give Hodgson victory in his first match in charge.
But there are concerns over Manchester City midfielder Gareth Barry and Spurs’ Scott Parker, who both came off.
Parker had missed Spurs’ final game of the league season with an Achilles problem and ended this match with his leg in ice after playing 56 minutes.
“We wanted to give Scott more than the 45 minutes to test him out. At the moment, there is no reaction, we will find out more tomorrow
“Gareth worries me a little more because he did feel his groin. We will have to get that scanned.
“We don’t have a lot of opportunities, we don’t have much time left and if it was a serious groin injury, then I dare say it could be something for me to seriously think about.”
With the Euros looming, England’s medical staff has about 48 hours to decide whether Parker and Barry will be fit enough to play in the tournament. Losing either, or both, will be a major loss to Hodgson and could create a a potential midfield crisis.
It was the first time England have won in Norway since Alf Ramsey’s side triumphed there 6-1 in 1966 – just weeks before lifting the World Cup and Hodgson did take some positives from the victory:
“It was a positive start to my time as the national team manager because it is a good win.
“I don’t think you lay a foundation in three days, I did not sign a contract with the FA to lay foundations in that time.
“We should have been more positive playing it forward earlier.
“We have started sowing a few seeds and, hopefully, by the time of the Euros we will be getting Ashley Young into more positions like the one we did for the goal.”