The Canaries had to gain promotion the hard way last season, going up through the playoffs after Bournemouth and Watford took first and second place respectively.
Their first game back in the Premier League ended in a 3-1 home defeat to Crystal Palace, but for long spells of the match they were as good as their opponents and were rather unfortunate to lose.
Speaking ahead of Norwich's clash with Sunderland this afternoon, Dublin said that he felt the Carrow Road outfit have good strength in depth and are more capable than their promoted rivals of avoiding the drop.
"I think Norwich can survive. Of the teams that have come up they are the strongest and the players are probably the most experienced,” he explained to the BBC.
Premier League survival
Norwich showed on Saturday exactly why Dublin has faith in their survival hopes this season as they turned over a desperate Sunderland side at the Stadium of Light, winning 3-1.
Goals from Russell Martin, Steven Whittaker and Nathan Redmond settle proceedings before the hosts managed a late consolation, but the most impressive part was the visitors’ desire to win.
Fellow promoted sides Bournemouth and Watford face a tough ask of balancing their attacking capabilities with defending smartly, with the latter twice throwing away a lead at Everton last weekend.
The Hornets boast a wonderful squad of players owing to their vastly underrated scouting system, and if they can click, they will also have a big chance of beating the drop this season.