Midfielder Johnson jetted home from the US on Tuesday after sustaining a knee problem as the Norwich squad continue to be put through their paces ahead of the start of the Premier League campaign.
The 26-year-old played in all but one of Norwich's 38 league games last term, with Hughton keen to play down fears that the former Leeds United man is set for a prolonged spell on the sidelines.
He told the club's official website: "Bradley Johnson, who went home - he's fine, he tweaked his knee very slightly.
"But the good news on that one is that it isn't a problem and he should be training in the next few days."
Sebastien Bassong and Michael Turner missed the trip to America due to a knee and groin injury respectively.
And Hughton also delivered positive news on the duo, as he added: "We're shaping up well.
"If I look at the centre-half positions Sebastien Bassong and Michael Turner who didn’t come with us are making very good progress at home."