The 19-year-old, on loan from Manchester City, is yet to feature in a first-team game and made his debut in the B team's 5-3 loss to East Fife.
Despite being tipped for a promising future by Pep Guardiola, Simpson-Pusey hasn't made it into any of [Brendan Rodgers](https://www.glasgowtimes.co.uk/topics/brendan-rodgers/?ref=au)' matchday squads in the Premiership.
Former [Celtic](https://www.glasgowtimes.co.uk/sport/celtic?ref=au) centre-half Wilson has offered the young player some advice regarding making a mark at the club.
Wilson told the Daily Record: "He's a young lad coming in to try and prove his point.
"He's on loan from Man City, so he's obviously a decent player, without a doubt.
"It doesn't matter who you are.
"Until you get in the door and see the magnitude of the club, it's how you hit the ground running."
Wilson explained the pressure and expectations at Celtic, saying it took him a season to settle into the club's environment.
He added: "You can play a game and win 1-0 and you read the papers the next morning and you're getting hammered.
"You think, 'Wait a minute, we've just won?' So that will be something he has to get used to."
Wilson pointed out that as a centre-half or goalkeeper at Celtic, one has a lot of possession of the ball, and it's crucial to remain alert and react promptly to counter-attacks.
He said: "The concentration levels, that's a big thing.
"Technically, they are good enough, that's why they are there.
"But I think it's the other side."
However, Wilson is surprised that Simpson-Pusey hasn't featured for the first team yet.
He said: "It's strange how he's not played yet.
"It's a very strange one.
"Yeah, you put out your best team, but I can assure you there's probably been opportunities in the cup or whatever to put him on."
Wilson suggested Simpson-Pusey could have been given a chance when the team was comfortably ahead in matches.
He said: "Results as well, when you are 3-0 up, can you put him on while you're dominating?
"So it's a strange one.
"Whether he's not match fit, had little niggles, I don't know.
"But it's definitely a strange one to bring a player on loan and not feature at all."
Rodgers has reassured that the time will come for the defender, but for now, Simpson-Pusey remains on the sidelines, waiting for his opportunity to shine.