The Canaries remain in the bottom three following a fifth defeat from eight league games after they went down 4-1 at Arsenal, who scored twice in the final seven minutes to record a somewhat flattering final scoreline.
Despite a performance of promise in spells which saw Jonny Howson reduce the deficit to 2-1 with 20 minutes left when Norwich were enjoying a good period of possession, the pressure will now be increased to deliver a return to winning ways against Cardiff at Carrow Road next weekend.
Only last week Norwich chairman Alan Bowkett made it clear the board expected "continuous improvement" over the course of a campaign following a £20million-plus summer investment on new players, and maintained a "top-10 finish" should be within reach.
Hughton, though, would rather not just look to judge progress in such strict measures.
"One thing that we are very much in tune here about, as a club, is that it is about improving," said Hughton.
"That doesn't necessarily mean league position, it means we feel we are in a better place to go on to the following season - with better players and a better squad. That is what the talk has always been about."
Hughton added: "If we finish this season and feel we have grown as a club and the academy has made good strides, then that is the most important thing.
"At no stage have we said about finishing in a certain position."
Hughton admits it is "horrible" to be asked about concerns over his future, but accepts it is all part of the territory.
"We are eight games into the season and I only concentrate on the team and doing the best job that I can, getting as many points as we can, getting as many wins as we can - and anything else, I don't think about," he said.
"At the moment, we are on the back of two defeats against two top teams so there is always concern, but the only ones that can change that are myself and the players.
"If we are reflecting, we actually have more points at this stage of the season than we did last season.
"We know every game is going to be a battle for us and it is up to us to turn it around."