The in-form jockey will receive the leg-up on Bedwyyah in the £25,000 handicap, in which she faces four high-calibre rivals over eight and a half furlongs.
Stoute’s filly looks a leading contender for top honours in the Beverley feature after she won a fillies’ novice stakes at Thirsk by a short head in June.
Curtis, who was crowned Beverley’s top rider in 2016, said: “It’s great to pick up the ride for Sir Michael and I’m really looking forward to it - hopefully it could open up a few more doors if all goes well.
“Bedwyyah was very tough at Thirsk. She knuckled down really well and stuck her head out when it mattered to win like a progressive horse.
“Hopefully there’s more to come from her at Beverley.
“It’s a good race with great prize-money, and one thing we know is that she’ll be trying her hardest. Things are going really well for me this season, and long may it continue.”