He was travelling behind the riders as they made their way around the course during the opening lap of the practice session when his bike crashed into a wall.
Dr John Hinds was an anaesthetist at Craigavon Area Hospital in Co Armagh and he regularly worked at the North West 200 motorbike races in Co Antrim.
But he was best known as one of the 'flying doctors' of Irish road racing.
With an official time still to be confirmed, the flypast will take place tomorrow afternoon during a short break between races, and with sunshine forecast, fans are set to enjoy spectacular views of the world-famous display team.
Clerk of the Course at the Metzeler Ulster Grand Prix, Noel Johnston said: “To have the Red Arrows fly over Dundrod will be fantastic. It’s not often that you get such an exciting opportunity and I’m sure it will be a real treat for the fans.
“It will be a great addition to race day and our tribute to Doc John Hinds.
“We’re all thinking of him this week and with his dedication to road racing and work campaigning for an Air Ambulance in Northern Ireland, we felt that dedicating the flypast to ‘Delta 7’ would be a fitting gesture.
“The Red Arrows are one of the few things faster and louder than a factory Superbike so make sure you don’t miss it. We’ll also have a full programme of racing for fans to enjoy, so there’s no reason not to be at Dundrod this Saturday.”
Entry wristbands to the Metzeler Ulster Grand Prix cost £25 per person, while entry is free for all under 18s accompanied by a paying adult.