Shabaaby has not looked back since having met with defeat on his debut at Salisbury in June.
The Sheikh Hamdan-owned two-year-old won a novice contest at Newmarket and then followed up with an impressive triumph in a conditions event at Doncaster.
Burrows said: "He was not supplemented for the Middle Park as Sheikh Hamdan was not keen on the idea and he has the final say.
"There is the Rockingham at York and the Doncaster Stakes on Racing Post Trophy day and he is likely to go to either of those.
"As long as we are happy with him, as he should get his ground then.
"I've always said he is a horse for next year and it would not be the end of the world if he didn't run again."
Stablemate Enjazaat will not run again this season after he trailed home last in the Mill Reef Stakes at Newbury on Saturday.
The son of Acclamation had previously bounced back from a below-par effort in the July Stakes with victory in a Listed contest at Ripon.
Burrows said: "It was a complete non-event at Newbury and he was beaten far too soon.
"We are just in the process of running some tests on him, but that will be it for the year.
"As we saw at Ripon, he is far better than that, but for whatever reason he ran no race.
"I think he will be kept to sprinting next year as he has got plenty of speed."