The former Hammers boss is backing the current side to make the top four.
West Ham United's excellent season continued at the weekend with an incredible win against Everton at Goodison Park.
They were 2-0 down with 12 minutes remaining before goals from Michail Antonio, Diafra Sakho and Dimitri Payet gave West Ham the win.
The performance and result made it clear that West Ham were going nowhere in this season's Champions League fight.
Currently fifth Slaven Bilic has worked wonders with West Ham in his first season at the club and they are hot on the tails of Manchester City in fourth.
"I think the great thing about West Ham this year is that they've had to overcome a lot of injuries.
"An awful amount of injuries. It seemed to be happening every week, even to the star player (Dimitri) Payet. Even now looking at their squad they are without (Carl) Jenkinson, they are without (James) Collins, without (Winston) Reid at the back. Everywhere else, every other department has suffered as well.
"But they keep picking up results."
West Ham have undoubtedly had to deal with a plethora of injury problems this season - with the likes of Andy Carroll, Manuel Lanzini, Pedro Obiang and Enner Valencia just some other examples of long-term absentees throughout the season.
But West Ham's resolve has impressed and Curbishley, who managed West Ham from 2006 until 2008 and played for them at the start of his career, believed they can finish in the top four:
"I'm looking at that (the Premier League table) and I am thinking why not?
"This is the year. It is so unpredictable. Can they jump into that top four? They are in a fantastic run of form at the moment, their results have been phenomenal. So why not?
"I think this is the year teams can start dreaming about getting the top four."
Champions League football would certainly be a fantastic way to break in the new Olympic Stadium.