Westbrook, 32, was 6-7 with a 4.65 ERA in 21 games started for the Tribe this season. He owns a career mark of 69-71 with a 4.34 ERA in 221 games. The 6-foot-3, 215-pound Athens, Ga. native won 14 games with a 3.38 ERA in 2004, earning selection the American League All-Star team.
Westbrook was the 21st overall pick in the 1996 amateur draft by Colorado and was dealt to the Montreal Expos in 1997. He was traded to the New York Yankees in 1999 where he appeared in three games as a rookie, and less then a year later, was traded to Cleveland in a four-player trade for David Justice.
"We've been looking for a quality starting pitcher to add to our rotation for some time," said Cardinals' Vice President/General Manager John Mozeliak. "Westbrook is someone we've had our eyes on for a good period of time. We also want to wish Ryan Ludwick all the best with the Padres. He did an outstanding job for us over the past three and a half seasons."
Westbrook won 14 or more games over three-consecutive seasons from 2004-06, including a career-high 15 wins in 2005 and 2006. He worked 200 or more innings in each of those three seasons as well. Westbrook missed all of the 2009 season after undergoing "Tommy John" elbow surgery.
Greenwood, 22, is 4-4 with a 4.15 ERA at Fort Wayne (A) of the Midwest League and will be assigned to Quad Cities (A).