On August 31, 2011, Lowe hit his first home run (in 425 at-bats) off John Lannan of the Washington Nationals.
Following the 2011 season, the Braves traded Lowe to the Cleveland Indians for minor league left-handed relief pitcher Chris Jones. The Braves paid $10 million of Lowe's $15 million salary for the 2012 season. On May 15, 2012 in a road game versus the Minnesota Twins, Lowe recorded his first shutout in seven years and also pitched a complete game in a 5-0 Tribe win, improving his season pitching record to 6-1. Lowe did not record a strikeout in the shutout, becoming the first pitcher to do so since 2002.
On April 28, 2011, Lowe was arrested and charged with driving under the influence, reckless driving, and improper lane change after he was spotted drag racing down an Atlanta street with another car. The trooper who stopped him detected an odor of alcohol and administered a field sobriety test, which resulted in Lowe's arrest. Lowe declined to take a breath test before he was released after posting bail. The other driver was not charged with any offense and was released. On May 26, 2011, both the DUI charge and the reckless driving charge were dismissed by City of Atlanta Solicitor-General Raines Carter, and Lowe entered a nolo contendere (no contest) plea to violating basic motor vehicle rules.