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The 79-year-old veteran actor previously rejected the opportunity to reprise his role in the last instalment of the series, Indiana Jones And The Kingdom Of the Crystal Skull.
However, producers working on the fifth film of the hugely successful franchise are believed to be considering the idea of tempting Connery back with a major role in the new project, Contactmusic reports.
A source said: "Steven Spielberg has been working on a script with George Lucas and there is an element of the story that could see Sean returning. Anything is possible in these movies and if Sean wants to return he will become central to the new story."
Earlier this week, Harrison Ford revealed that he would be happy to reprise his lead role in the franchise, as long as the script was "good enough".
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