Cubs right-hander Matt Garza is on the trading block as Tuesday's 4 p.m. deadline looms. (AP)

The Cubs appear to be the busiest team as Tuesday’s trade deadline looms, and they may have found a suitor for Matt Garza within their own division.

Major league sources have told FOXSports.com’s Ken Rosenthal that the Reds, who lead the NL Central by three games over the Pirates, are in talks with the Cubs for Garza, who the Cubs “are trying hard to trade,” according to CBS baseball insider Danny Knobler. Knobler also said that two sources described a Garza trade to the Reds as “very doubtful.”

Garza has also been linked to the Blue Jays and Rangers on the rumor circuit, according to sources.

Garza, who has not pitched since July 21 due to fluid in his triceps area, is under club control with the Cubs through 2013. He is due $3 million for the rest of this season and anywhere from $11 million to $12 million next year in arbitration.

The 28-year-old right-hander is 5-7 with a 3.91 ERA in 2012. Since joining the Cubs in 2011, he is just 15-17 with a 3.52 ERA. A former member of the Rays, Garza has experience in the playoffs, including the 2008 postseason when he posted two wins against the Red Sox in the ALCS.