Losing pitcher Rich Hill had tossed 19 consecutive scoreless innings until Fielder went deep in the fourth. Kevin Mench added a solo homer and Rickie Weeks delivered an R-B-I single in the Brewers' fourth consecutive win.
Suppan is 3-and-2 after holding the Cubs to eight hits over eight shutout innings. Francisco Cordero struck out Cliff Floyd for his eighth save after Derrick Turnbow gave up Mark De Rosa's R-B-I double in the ninth.
Hill was reached for four runs and six hits in six and two-thirds, dropping him to 3-and-1.
The Cubs have dropped three straight and are 3-and-9 at Wrigley Field.
Viewers with disabilities can get assistance accessing this station's FCC Public Inspection File by contacting the station with the information listed below. Questions or concerns relating to the accessibility of the FCC's online public file system should be directed to the FCC at 888-225-5322, 888-835-5322 (TTY), or email@example.com.