The D-backs acquired Jackson, the Cubs' first-round pick in 2009, off waivers on Aug. 14 and traded pitcher Blake Cooper for him. Since then, the 26-year-old has played in 11 games with Reno, hitting .188 (3-for-16) with a home run.
Jackson, who was ranked as the No. 33 prospect in baseball before the 2012 season, struggled with injuries while with the Cubs. His sole Major League stint came in late 2012, and he hit .175 (21-for-120) with a .644 on-base-plus-slugging percentage.
Jackson said he has been trying to get back to the athleticism that made him a top prospect in the Cubs' system.
"I've never been more motivated going into the end of the season," Jackson said.
Manager Kirk Gibson said it's possible Jackson could start some games down the stretch.
"I know he has a lot of ability," Gibson said. "He hasn't been able to put his tools to good use so far, but we've acquired him and hopefully we can help him get on track."
Paterson, however, has pitched for the D-backs the last three seasons, including 62 games out of the bullpen in 2011. He had a 2.91 ERA that season.
Adam Lichtenstein is an associate reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.