The Scottish Premiership leaders booked their place in the last four of the competition with a 3-0 win over Morton.
Just 14,858 turned up to Parkhead to watch the Hoops' 3-0 win that would later set up a semi-final clash with Rangers. And while Deila insisted that the size of the crowd ultimately had little impact on the team, he suggested that he's hoping to regain the fans' support in the future.
"We could have been playing without any people here today - it was about playing football and bouncing back from a performance we were not happy with," he told the Record.
"The fans who were here were good. They stood behind the team and I'm very happy for that. We have to build up the trust of the fans. It is a win-win situation if we perform.
"It's much better to get applause instead of boos, that's for sure. Hopefully that will continue."
While the low attendance could partially be down to the fact that the Bhoys were expected to breeze past the Scottish Championship side, and the fact that the game was being televised, the number of empty seats arguably highlights the concern among certain sections of supporters regarding the direction that Deila is taking the club in.
The Hoops failed to make any impression in Europe this term, and are not too far ahead at the top of the Scottish Premiership, so there could be doubts about whether the club have taken full advantage of playing in a top flight that has not included Rangers for the past few years.
And while the Norwegian will suggest that the small crowd had little impact on the result on Sunday, the vast number of empty seats may motivate the team to ensure that they win as many matches between now and the end of the campaign so that they convince the fans to return.