The Devon outfit ran in six tries as they thrashed fellow Aviva Premiership side London Welsh 42-15 at the Kassam Stadium.
Despite their commanding score, Gibson believes that Chiefs were made to work for their victory.
"It was a very, very good victory, but one the boys had to earn. It wasn't given to them," said Gibson.
"It was a close score at half-time, but they dug deep, and the young players showed a bit of flair, and the older players showed some really good leadership qualities.
"The scoreline perhaps flattered us in the end, but what a scoreline it was!"
Exeter host the Ospreys in the next round of the cup on Saturday.