Waters, who brought the Wall Tour through Chicago in 2010 in a four-night residency at the United Center, is expected to set up the massive production at Wrigley on June 8 and possibly June 9, both dates when the Cubs are out of town, music-industry sources say.
A Live Nation spokesman would not comment on the reports, but did confirm that Wrigley will host at least one concert next summer.
Waters recently told Rolling Stone magazine he was working on an outdoor version of "The Wall" to tour in 2012 and had conducted lights tests at several American baseball stadiums, including Wrigley, to accommodate the extravaganza.
"The Wall," released in 1979, was largely written and conceived by Waters with Pink Floyd. It's among the most revered double albums of all time and has sold more than 20 million copies. Waters left Pink Floyd a few years later and has recorded and toured as a solo act ever since. In recent years, he has revisited the band's biggest albums -- "The Dark Side of the Moon" and "The Wall" -- for highly lucrative tours.