The 20-year-old has arrived at Carrow Road on a season-long loan from Chelsea, having starred for Scotland at Euro 2020.
And Gibson has already seen enough to be blown away by Gilmour's ability and attitude.
"Really, really happy that Billy has signed – you can see straight away the talent that he has," said Gibson to the Evening News.
"More important than that he's a good lad, he has fitted straight in.
"We are an easy group to get on with as long as you work hard, and that's certainly what he does, so really looking forward to building a relationship on and off the pitch with Billy this season.
"There is no doubt he is going to be a top, top player but hopefully we can be a part of that development and help him along his way, no doubt he will help us massively this season as well."
Gibson added: "His temperament, his attitude seems absolutely top class.
"I have no question marks at all - I think it will turn out to be a great signing. It is nice to know a player like that comes in who just fits in seamlessly – he's going to be great.
"There's no doubting his technical ability and his quality, he has shown that numerous times and if that wasn't there he wouldn't be in the reckoning at Chelsea, but as a lad and as a person he has fitted straight in so no doubt he will go from strength to strength here."
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