The five-year-old has won before at the 10 furlong distance before and will be hoping to avoid another battle with Baaeed, who is being aimed at the Juddmonte International at York in August.
In seven starts on turf, Baaeed is the only horse to beat Real World, who again tried dirt earlier in the year in the Saudi Cup and Dubai World Cup.
Real World got closer to William Haggas' unbeaten star at Royal Ascot than he did in the Lockinge, although he was still beaten by a length and three-quarters.
"He's in the race and we just need to see how he comes out of Ascot," said Bin Suroor.
"I want to see how he is next week but it's so far so good, he looks happy and fresh but we need to see closer to the race.
"We will go back up to a mile and a quarter with him, he's won over it before in a Listed race at Newbury last year so it is definitely something to look at.
"He got closer to Baaeed. He was coming back at him, I think there could be more to come from him at 10 furlongs.
"If you look at his pedigree you might not think he'd stay, but we've seen him get it before.
"He's a class horse. The Juddmonte International is another race we could look at."