The Celtic boss has been speaking about how his perception of the club has been transformed.
The Norwegian has been reflecting upon his first season with the Bhoys - one that could well end up with Celtic's first domestic treble since 2001 - and looked back at one conversation in particular with chief executive Peter Lawwell.
Indeed, Lawwell warned the 39-year-old that he couldn't possibly prepare for the size of the job awaiting him at Celtic Park.
Intriguingly, Deila admits he laughed a little bit. But he isn't laughing anymore. Indeed, the Celtic boss says he has been shocked by the size of the club as he has grown into the role of head coach of the Scottish champions.
“I remember Peter Lawwell was saying you never can prepare for Celtic and I was laughing a little bit," Deila told Chris Sutton during a BT Sport interview.
“But I now understand what he means. It’s a much bigger club than I imagined. I knew it was big but the intensity here is totally different."
The Bhoys faced St Mirren on Friday - a game they won 2-0 - and are now eight points clear of second-placed Aberdeen in the race for the Scottish Premiership title.
Next up, Celtic take on Partick Thistle, Inverness Caledonian Thistle and Kilmarnock, before then facing Inverness again in the Scottish Cup semi-finals.