The Hoops are currently one point clear of Aberdeen at the top of the table.
The Bhoys are just one point ahead of Aberdeen heading into the business end of the campaign, and while Deila's men have a game in hand over their nearest challengers, it appears that the race could go right down to the wire given that both sides have experienced brief blips in form along the way this season.
But the Norwegian believes that his squad need to use the pressure to their advantage, given their greater experience in winning silverware.
"It doesn't matter so much about Aberdeen. It is about what we do now. There are nine games for us to go and everything is in our own hands," he told the Evening Times.
"There is always pressure when you play for Celtic. But you have to enjoy that and respond to that and this is a group of players who have been doing that for a long time.
"They know what it takes to win."
With the amount of expectation that exists at Parkhead - arguably rightly so, given the Hoops' stature in comparison with the rest of the sides in the top flight - Deila is correct to suggest that his players should be aware of what it feels like to be playing under pressure.
And having fought back superbly when the pressure appeared to be getting on top of them a little too much at various stages throughout the season - most notably in the games following when they lost in the Scottish League Cup semi-final and a top-of-the-table clash to Aberdeen - Deila can surely feel confident that his squad has enough fighting spirit to fend off the Dons' challenge.