The Northern Irishman replaced Deila at Parkhead last week, signing a 12-month rolling contract in what looks like a very big move by the Hoops' hierarchy.
His predecessor had something of a hit and miss record in the transfer market it must be said, and Sutton says that the ex-Liverpool boss has a job to do in order to restore the glory days to Paradise.
There seems to be genuine optimism surrounding the club again following a lukewarm period under the Norwegian, who delivered two Scottish Premiership titles but never presided over a Champions League group stage game. But Deila isn't the benchmark - Martin O'Neill is.
That being said, Sutton says Rodgers is handicapped by the players he will inherit, suggesting only young left-back Kieran Tierney and red-hot striker Leigh Griffiths are of any use to him.
"The difference now is Martin did inherit some good players. I look around the current squad and I don’t see a Johan Mjallby," he wrote for The Daily Record. "There’s no Stilyan Petrov, or Paul Lambert, or Jackie McNamara.
"There’s certainly no Henrik Larsson or Lubo Moravcik. There’s a Kieran Tierney and Leigh Griffiths but that is about it.
"So you could argue the new manager has an even tougher job on his hands than Martin had 16 years ago."