The Alberta native started his career in San Jose and spent part of the 2007-08 campaign in Los Angeles.
The Journal claims Stuart's family has been living in California while he's been playing for the Red Wings, and suggests he'd welcome a return to the west coast.
In 44 games with the Wings this season, Stuart has picked up four goals and five assists for nine points, and has posted a plus-10 rating.
Stuart is in the final season of a four-year, $15 million contract.
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