The 22-year-old suffered bleeding on the right side of his brain when 100-1 shot Classic Fly fell at the first fence during the Maghull Novices’ Chase at Aintree on Saturday.
Peter was taken to Fazakerley Hospital, near the course, but was later transferred to the neighbouring Walton Centre for Neurology and Neurosurgery.
The young jockey is attached to Charlie Mann’s yard in Lambourn and the trainer said on Tuesday morning: “His CT scan came back negative, which is good news.
“His body is OK and he woke up last night from the induced coma and he was moving his legs.
“They then put him back under in the night and he should be coming out of that again this morning (Tuesday).
“I’ve spoken to his father this morning and it is a case of so far, so good.
“Everything is as good as it can be at this stage. They’ll do some tests on him when he has woken up.”