Former Celtic Gerald Green will be trying for his second title in the event.
New England also needs a little help from around the league.
Both Ellsbury and Lester could finish the season elsewhere.
The Red Sox and Tigers each have a 23-24 record as they enter their four-game series. Boston lost two of three to Tampa Bay over the weekend.
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Novak Djokovic and Rafael Nadal will meet in the 2012 French Open Men's Singles final, after Djokovic defeated Roger Federer and Nadal dominated David Ferrer.