Most concern centres on midfielder Kenny McLean – who scored vital penalties in the qualification campaign shoot-outs – though striker Lyndon Dykes was withdrawn at half-time after going down with a knee injury in the first half of Queen’s Park Rangers’ win over Luton Town.
McLean celebrated Norwich’s second tier title win wearing a brace after being substituted in the second half of his side’s 2-2 draw with Barnsley.
Manager Daniel Farke admits concern for the midfielder’s medial collateral ligament and hopes he will not miss the summer’s tournament.
He said: “Kenny McLean had to be substituted and there are fears for his inner ligament in his knee and his MCL but we will have to wait for further assessment.
"It's a bit too soon to say but I hope it is not too bad because the Euros are quite important to him so we have to wait for further assessment.
"Grant Hanley was limping during the first half but he kept going after a knock on his ankle.”
Striker Dykes also played through pain after laying on the opening goal for Charlie Austin, but manager Mark Warburton made the cautious call to replace him at the interval, with one eye on the big kick-off against the Czech Republic on June 14.
"For Lyndon to go down - he never goes down and he's as hard as a piece of teak,” the manager admitted. "But I don't think the doctor was too concerned and Lyndon was desperate to come back onto the pitch because he thought he was OK.
"The doctor said he wanted to be cautious, and we'll always listen to the medical staff. So that was more precautionary, I hope.
"He looks OK - and the way he's attacking the food in the dressing room, he looks fantastic. He knows he's got a big summer ahead of him, and we need to look after our players."