Wearing a black suit, white shirt and black tie, Jackson appeared relaxed and smiled and waved briefly at onlookers in court.
Adjourning the case until next month, Judge Guy Anthony told Jackson: You can expect a significant custodial sentence.
Before then, Jackson, who used to live in Exeter, will appear at Westminster Magistrates Court where he faces extradition to Spain over the murder. Miss Brown, 32, from Alexandria, Dunbartonshire, vanished from her home in Guadiaro, near Gibraltar and the upmarket Spanish port of Sotogrande, on November 4.
Sources in the UK said she went missing after a bust-up with Corner, 33, her on/off boyfriend.
Guardia Civil investigators have said there is sufficient evidence to believe she has been murdered but her body has not been recovered.
Spanish police immediately suspected Corner and his yachting associate Jackson.
They believe Jackson, who owned several yachts, may have used one, called Daydream, to dispose of the body at sea. It was impounded in Lanzarote by Spanish officials in connection with the murder.
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