While it was initially reported that Preston was about to give birth their third child, a spokesperson for the couple today denied she had gone into labour.
Preston is due on November 26 and the couple have already decided to name the unborn boy Benjamin.
Earlier this month she had Braxton Hicks contractions, which is also know as fake labour.
The 56-year-old actor and pilot had previously promised Miss Preston that he would be at her side when the baby was born - even if it meant an unexpected 22-hour flight across the Pacific to Los Angeles.
Mr Travolta had been due to arrive in Perth as the main celebrity at a charity event, at which he was to receive the key to the city from Lord Mayor Lisa Scaffidi.
'We completely understand that his family comes first,' said Mr Ray Wardrop, general manager of Australia's Channel Seven TV network, which was organising the event.
John Travolta Dashes Home For Pregnant Wife
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