The boss spoke to supporters of the club at a fans' forum earlier in the week, and was calm about the relegation talk.
John Tilson, from the Norwich City Independent Supporters Association, who organised the event told BBC Radio Norfolk: "Not for one minute does he [Roeder] think we are going to go down.
"The main thing to come out of the meeting is that this is just a blip and we will not be relegated".
The Canaries currently sit in 18th position after a recent run of poor results.