The win against a Stoke side managed by former Coventry boss Mark Robins, who got them to within a penalty shootout win of a long-awaited Premier League return in 2023, has consolidated the Sky Blues' place in the top two.
They remain nine points clear of third-placed Millwall with 11 games remaining.
While Robins was back at the CBS Arena in the rival technical area, his imprint on the Coventry side looking to get back to the top-flight after a 25-year absence was highlighted with their opening goal.
Jay Dasilva and Wright, two players brought to Coventry by Robins, combined to break the deadlock.
Coventry pressed incessantly for a second before the break, but Potters keeper Simkin denied Ephron Mason-Clark, Frank Onyeka and Wright, who also hit the crossbar, before Gibson hit back for the visitors with a glanced header from a Sorba Thomas corner to end the half.
Simkin remained busy after the interval, saving from Rudoni and rushing out to foil Wright, but the keeper's efforts were undone in stoppage time when he failed to clear the ball while under pressure.
It went as far as Rudoni, whose effort went in off Gibson to spark euphoric celebrations inside the packed CBS Arena.