Irvine told the club's official website: "Having been at Anfield on Sunday and watched how well they played, and watched how many chances they were able to create at a really difficult place, I think they can more than survive.
"I think they could have another very good season. I think they've spent their money very wisely, replaced very good players with very good players.
"I was really impressed with how they played at Anfield. Not many teams go to Anfield and make it go quiet – but that certainly happened during periods of the game. They deserved something out of the game and I believe it will be a tough place for anyone to go this season."
The Baggies take on Koeman's side at St Mary's Stadium later today.