The Old Firm rivals will meet at Hampden Park to decide who will progress to the Scottish Cup final.
The two teams will meet to decide who will reach the final, as well as who will get the bragging rights from only the second Old Firm clash in four years.
And Sutton explained why, in his opinion, if the Hoops play anywhere near their best, they should have more than enough to secure the win against their bitter rivals.
"No doubt, they've been effective in the second tier. Wes Foderingham has looked competent, Tavernier and Wallace have been great going forward but not tested defensively," he told the Record.
"The centre-halves can't run. A high line spells trouble and even in the Championship they have been exploited. They have a neat and tidy midfield trio but surely if Brown and Co bring their A game they'll trample them."
While the Light Blues recently went through a poor patch of form when it came to keeping opposition at bay - as they conceded nine goals in just three games - they go into the Hampden Park showdown off the back of two clean sheets in a row.
And while one of those clean sheets came against a side hovering towards the bottom of the Scottish Championship while the other came against a team in the third tier, they have proved that they can keep clean sheets against top flight opposition also.
When they faced Kilmarnock and Dundee in previous rounds of the competition, they were able to raise their game to ensure that Wes Foderingham didn't have to pick the ball out of his net on either occasion - though he did concede one in the replay with Kille - so they will be hoping that they will be capable of making an even bigger step up when they face Ronny Deila's men.
Unfortunately for Mark Warburton, Sutton is predicting that against the likes of Leigh Griffiths, they will stand little chance of making it three clean sheets in a row.