“Any game I listened to over the years as a young supporter on the radio and watched here at Aberdeen, it’s always been a tough game and Celtic came here and lost twice last year. So a brilliant win for us in many aspects,” Rodgers said.
“I said to the players a few weeks ago, you have to learn to win 1-0 because you are not always going to score four or five or six goals.
“But if you have got that spirit and collective mentality to fight, then it gives you a great chance in any game.”
Celtic had chances to extend their lead either side of the break but Stuart Armstrong missed the best one and Joe Lewis pulled off good saves from Scott Sinclair, Rogic and Moussa Dembele.
That allowed Aberdeen to come back into it, with substitute James Maddison causing problems, and Celtic survived some difficult late moments.
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Aberdeen manager Derek McInnes was full of praise for Celtic’s Australian goalscorer.
“I applaud them for winning the game and it was real quality from Rogic for the goal,” he said.
“I’m a bit disappointed he found that space at the edge. But I thought we deserved something from the game.”