Philadelphia Phillies general manager Ruben Amaro Jr. told MLB Network on Tuesday that there is “very little chance” the team will trade Cliff Lee before Wednesday’s non-waiver trade deadline.

Lee, a former Cy Young Award winner, has drawn interest from multiple teams and recently had been rumored to be available in a trade. The Phillies entered Tuesday’s contest mired in an eight-game losing streak.

The Boston Red Sox were rumored to be the primary front-runner to acquire the 34-year-old Lee, although the Atlanta Braves, Los Angeles Dodgers, Pittsburgh Pirates and St. Louis Cardinals also reportedly are interested in adding a starting pitcher.

However, the Red Sox are likely out of the running after trading for right-handed starter Jake Peavy in a three-team deal with the Chicago White Sox and Detroit Tigers late Tuesday.