The 2-2 draw on Saturday afternoon with Swansea City has left Norwich 13th in the Premier League, five points above the drop zone.
Hughton, however, said that everyone will be "anxious" during the final stage of the season.
"We wanted a win but nothing changes, we still have to get enough points from the six remaining matches to make sure we're secure," BBC Sport quotes Hughton as saying.
"We're at the part of the season that makes everyone that bit anxious and you have to have belief in the players."
Wigan Athletic in 18th have two games in hand over Norwich.