Asche went 1-for-4 with a run and an RBI during Thursday's win over Cleveland.
The first-year Sox is just 2-for-20 on the season, and his playing time could be in jeopardy with Todd Frazier (illness) expected to return to the field Friday and Matt Davidson hitting well (five RBI over the past two games). Asche sports a career .238/.297/.381 slash line with a .296 wOBA, so he's not moving the needle in many fantasy settings.