TV
Rex Features
Minogue was Jackson's mentor on the show during 2007 and telephoned Jackson after he was dropped by record label Sony last month, new! reports.
Jackson said: "I adore her. She's so nice and caring."
Minogue added: "I care about these kids. Being a mentor should not just stop when the show ends. I'll do all I can to help."
Runner-up Rhydian Roberts said that Jackson was "a gent" and expressed confidence that Jackson would do well in the future.
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