"We need to start picking up points in whichever way we can," Hughton told a news conference ahead of Tuesday's trip to managerless Leicester City.
"We've gone from being, about three league games ago, in a good position... seven points clear of the relegation zone, to where we are now on the back of three disappointing results.
"You have to be concerned but that's our job and that's the level of club that we are."
Leicester sacked Claude Puel as manager on Sunday following a 4-1 defeat by Crystal Palace.
"They have a lot of ability in the team and very good individuals. How it will affect the team and the group, the answer is I don't know," Hughton added.
"We have to concentrate on the things we feel can get us a result and we need to start picking up some points."
Defender Leon Balogun will miss out due to a shoulder issue while Hughton will take a late call on Glenn Murray, Lewis Dunk and Jose Izquierdo who have returned from their injuries.
(Reporting by Shrivathsa Sridhar in Bengaluru; Editing by Christian Radnedge)
