Shaw this season has struggled for the first-place Brewers. In 56 games for Milwaukee in 2021, he batted .191/.279/.337 (66 OPS+) with six home runs and time spent at third base and first base. Over the past three seasons combined, Shaw has an OPS+ of 65.
Shaw, now 31, was originally drafted by the Red Sox as a ninth-round selection out of Kent State in 2011. In his first two major-league seasons with Boston, Shaw hit 29 home runs in 210 games, but in December of 2016 he was traded to Milwaukee as part of a five-player deal.
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While Shaw's ability to produce at an adequate level in the here and now is doubtful, he does give Boston another left-handed bat with the potential for occasional pop. If he cracks the active roster at any point, he could also serve as a late-inning defensive replacement for Kyle Schwarber, who may see significant time at first base for the first time in his career.
The Red Sox entered play on Sunday with a 2 1/2 game lead over the rival Yankees in the race for the second and final AL wild card spot. They also trail the first-place Rays in the AL East by four games.