The Colombian World Cup star is taking Arsenal's title challenge game by game, but is confident about the side's quality.
The 26-year-old joined the Londoners this summer from Nice in Ligue 1, and has since proved himself to be a top-class stopper at his new club.
“The season is not over yet,” he told the Standard. “Arsenal are an excellent team, one of the best in the world, so we deserve to win things. Without thinking about the title, because it is all step by step, we hope to do the best possible to get this club in the position where it deserves to be. We have an excellent group with excellent players.
“The important thing is for us to concentrate on our game as we are already doing. I think in the English league, the most difficult match is the next one."
It is some surprise to see that the Colombian didn't make his Premier League debut until 2015, taking the place of Wojciech Szczesny after the Pole put in a poor performance away to Southampton on New Year's Day.
Since his league debut against Stoke on January 11, Ospina has astonishingly won 11 out of 12 games as Arsenal number one, with the only slight coming against rivals Spurs in the middle of February.
Taking 33 points from 36 available has helped fire Arsenal into the position of chief Chelsea chasers, with the Blues seven points ahead of Arsene Wenger's side with just six games left.
But considering their form this year, and with an FA Cup semi-final against Reading still to look forward to, it's no wonder that Ospina is optimistic about both the Gunners quality, and their ability to win trophies.