The 63-year-old - jailed for three years in 2005 for molesting girls aged 11 and 12 - has asked his Vietnamese lawyer Le Thanh Kinh about the possibility of a new life in the city, the Morning Post said, quoting unnamed friends of Kinh.
Glitter - whose real name is Paul Francis Gadd - is set for release in August, when he will be deported back to the UK.
But he told Kinh he wants to return to Asia as soon as possible, the report added.
Glitter began thinking about Hong Kong 13 months ago after a meeting about life in the UK with British police and a sex offences specialist at his prison in Thu Duc, the source said.
"It wasn't a happy encounter. He said afterwards he didn't like the sound of it at all, and it made him determined never to settle back in the UK," a friend of Kinh told the English-language paper.
Kihn denied Glitter had spoken to him about moving to Hong Kong, and said "it is not clear where he will go after his release."
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