Absolutely. Best case scenario, the Red Sox win enough to take one of those wild card spots. Is a one game playoff worth holding onto Beckett? Last year, the Red Sox had a must-win last game of the season, and they lost to the Orioles.
Trading Beckett frees up that 16 million a year to go after one of the quality pitchers available on the market. Beckett's fastball velocity is dropping a MPH per year at this point. Trading him sends a message to the players, and marks the end of the beer and pitcher fiasco. And considering the kind of haul that Jimeniz got, I think Beckett will bring in some quality pitching prospects-- something this team has severely lacked over the last few years.