The Canaries will be looking to bounce back from their 7-0 thrashing at Manchester City last weekend - their sixth defeat in their opening 10 Premier League matches, which has left them down in 18th place in the table.
The Hammers have drawn their last two league games 0-0 and Hughton is expecting some stubborn resistance from Sam Allardyce's side at Carrow Road.
"Yes, possibly there will be times during the game when it might be difficult to break down a side like West Ham, who have been defensively very good, and that is when we might need a little bit of patience - that applies to the team as much as the supporters," said Hughton.
"We can't be throwing players forward at will. We have to get things right tactically so that might mean there are periods or lulls in the game which might lead to some frustrations.
"All I can say is I know our supporters have been right behind us this season and that will not change this weekend - we will need them again."
Hughton is quoted at 5/2 by Sky Bet to become the next Premier League manager fired, but he is not about to press the panic button.
"There is no need to set the alarm bells ringing," he said.
"If we win on Saturday, we go above West Ham and it changes the perceptions a little bit. What we can't do is look at the negatives. For me, they are in the past.
"We made sure we closed down last week's game as quickly as we could.
"I am convinced I will get the time to turn it around. We are possibly one or two results from being in a half decent position in the league, so it is not as if we are bottom and cut adrift.
"That, of course, doesn't make the feeling any better and we don't want to be in the bottom three, but we have everybody pushing in the right direction.
"I speak to the chief executive and the board on a regular basis and there isn't anyone at this football club who doesn't want us to make progress.
"Everybody is hurting right now - not just me and the players, but the board and the fans. We all want the same things."