Brendan Rodgers declared it was a case of job done after Celtic beat Ladbrokes League One side Alloa 2-0 in the Betfred Cup.
The Hoops missed a host of chances with left-back Kieran Tierney hitting the bar and visiting keeper Neil Parry making several saves before James Forrest got the breakthrough in the 83rd minute with Moussa Dembele adding a second in the final minute.
Rodgers was not pleased with some aspects of his side's display, but they are in the semi-finals of the competition, so he did not want to complain too much.
"The main objective tonight was to qualify," Rodgers said. "We knew it was going to be a tough game for us.
"In the group stages Alloa beat Inverness and Ross County so we knew they had great resilience in the team, great mentality and character to defend and they proved that.
"We had a lot of chances in the first half and didn't take them and of course when you don't take them as the game moves on you can become a little but edgy but we showed great patience in the end and scored two.
"I wasn't pleased at half-time. We have to be more clinical than that.
"We had 13 shots on target and probably another 13 which weren't on target so to score only the two goals was disappointing. You have to be more ruthless than that.
"The name of the game was being patient but we needed to be much better Credit to Alloa to come here and defend the way they did and play the way they did was fantastic.
"We deserve the credit for the patience but performance-wise we will obviously play much better."
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