The Canaries struggled to make an impression in the game until belatedly starting to make some headway when already 2-0 down in the final half-hour.
They did create some chances but the closest they came was when Robert Snodgrass headed against the post.
Norwich are now without a win in the league in six matches but Hughton said: "There is always pressure on managers at whatever stage of a season.
"We want to win games and football matches. There is no greater pressure on myself at this moment than there has always been."
But with his side slipping towards the relegation zone, Hughton accepts results need to improve.
He added: "Yes, very quickly. That is something we are aware of.
"With how the league is we need to start winning games and that means scoring goals.
"I take pride from the fact in the last half-hour we made a real good game of it. We certainly didn't shy away from trying to get back into the game and having opportunities.
"I was a little bit frustrated we didn't show enough in that first period because, for the amount of possession they had, they never really tested John Ruddy to the degree they would have liked."
Midfielder Wes Hoolahan, a reported target for Aston Villa, remained on the bench throughout but Hughton insisted the player was staying at Norwich.
He said: "There is no situation. He is a Norwich City player. He was very much in my thoughts to play today and is a strong part of my squad."
- Sports & Recreation
- Robert Snodgrass
- Kevin Mirallas
- Gareth Barry