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Speaking to Sun Media, Tina Sinatra said Scorsese had "always wanted to do this [film]".
The untitled Universal movie will reportedly not focus on Sinatra's alleged business links to the Mafia and organised crime figures.
Commenting on his friendship with gangsters, Tina said her father "never drove the getaway car".
She added: "I don't want him to be driving the getaway car. That would not be fair. But I trust [Scorsese] implicitly."
Scorsese previously tried to make a film about Sinatra's fellow Rat Pack member Dean Martin with Tom Hanks in the lead role.
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