Despite the 4-0 defeat at leaders Manchester United last weekend, results elsewhere were not damaging as the Canaries retained an eight-point cushion over the bottom three.
However, should Norwich - who have recorded just one victory in the previous 11 league games - get beaten at home by 16th-placed Southampton on Saturday, that safety barrier could soon start to erode.
"It has been shown by QPR's win (last week) and Reading had also recently been on their best run of the season, that what you have is a group of teams around us and below us which can all win games", said Hughton.
"You only have to have one of them put a run together, which they are all capable of doing. Can you afford to relax? Absolutely you can't.
"There are too many stories, even in recent seasons, of clubs which have been in good positions that eventually have gone down."
Hughton added: "When you are playing against teams around where you are in the league, they are games you do not want to lose.
"We have 10 games left and we need to make sure we get the required points from those in whatever fashion we do it.
"It is quite obvious there are averages over the season, most look at the 40 point mark, but there are going to be seasons where it is higher than that, and also lower than that.
"First and foremost though, it is about getting points in the next game."
Norwich, who went on an superb 11-match unbeaten league run earlier in the campaign, have scored just 27 league goals, one of the lowest in the top flight and shipped 45 - including several heavy defeats, being hit for five home and away by Liverpool.
Hughton accepts finding that happy medium is perhaps his toughest challenge.
"We would like to be scoring more goals, and that would hopefully guarantee you more wins, but for us it is about getting the balances in the team, which means being hard to play against," he said.
"We have to be competitive first, which will then give us a chance to win matches."
Hughton added: "Southampton's recent performances have been very good, even if the results have not been what they would have liked, so we have to prepare ourselves for a team who have a lot of offensive options, and aggression in the way they play.
"If the warning signs are there, it is because of their recent away performances, so we have to be guarded against that."
Hughton revealed fringe midfielder Andrew Surman - who last featured in the FA Cup defeat against Luton on January 26 - was likely to be sidelined for the rest of the campaign after surgery on his knee problem.
"It is a small ligament operation, which will keep him out probably for the season, but we will assess that when we see how he recovers," Hughton said.
Norway international midfielder Alex Tettey (knee) also remains out, as does England goalkeeper John Ruddy, who continues his rehabilitation from a thigh surgery.