The court heard how Dott bought her a teddy bear with a love heart on it in the course of the abuse.
Police previously contacted Dott about the allegations in 2001, but no charges were brought.
The woman gave a new statement to police in 2025.
During his evidence, the boy said his abuse at the hands of Dott began not long after he defeated Peter Ebdon to win his sole world title at The Crucible in Sheffield in 2006.
The boy, now a man in his 20s, said he was about eight years old when Dott molested him in a shower at a home in South Lanarkshire.
He told the court how Dott “rewarded” him with crisps and fizzy drinks and once handed him a £50 note, only to accuse the boy of stealing it when his parents found out he had the money.
He also said he was abused in a car on a number of occasions and “inappropriately touched” while Dott played online poker.
Dott had told the trial the allegations were false and that he had “never acted inappropriately with anyone”.
Lord Harrower was told the woman had provided a victim impact statement for him to consider before sentencing next month.
Dott was taken into custody until then.