Redd scored 21 points and the Bucks beat the Toronto Raptors 94-81 Friday night for their third straight victory.
"We're hungry now. We've been humbled by our record," said Redd, whose team is 22-37. "We're going to try to make a playoff push, if not we'll finish off strong."
The Bucks ended an 11-game road losing streak against a team that has the best record in the Eastern Conference since the start of the year.
"If we had our full roster all year long we could be up in there in the seeding," Redd said. "That's the frustrating thing about it. Even though we're not out of it mathematically we've got to keep playing."
All-Star Chris Bosh had 14 points on just eight shots for the Atlantic Division-leading Raptors, who are 9-2 in their last 11 home games.
Toronto failed to get the ball to Bosh, who was double-teamed every time he touched it. Fans, recently excited by the resurgent Raptors, booed in the final seconds.
"They made a concerted effort to take Bosh out of the game," Toronto coach Sam Mitchell said. "When we threw him the ball, they had two or three people guarding him."
Andrea Bargnani -- the No. 1 pick in the draft -- had 16 points and nine rebounds for Toronto.
Milwaukee shot 45 percent compared to 37 for Toronto.
The Raptors struggled against the Bucks' zone defense.
"We didn't make shots. It's as simple as that," Toronto's Morris Peterson said. "You hate to see Chris take eight shots, you'd like him to take more, but I'm pretty sure he was trying to play in the flow of the game."
Jose Calderon cut Milwaukee's lead to six with 8:12 left, but the Bucks followed with a 9-0 run highlighted by Redd's 3-pointer and layup.
"That's my job, man," Redd said. "Just making sure we close the door on them."
Milwaukee outscored Toronto 26-18 in the fourth quarter as Toronto shot just 7-for-19 in the period.
Former Raptor Charlie Villanueva had 14 points in 24 minutes.
T.J. Ford, who was traded for Villanueva, had 10 points and nine assists for the Raptors.
Bargnani will fly to Italy on Saturday to be with his ailing grandfather and will miss Saturday's game in Cleveland. ... Toronto general manager Bryan Colangelo has put up a scoreboard in the locker room listing the Atlantic and Eastern Conference standings. ... Toronto's Anthony Parker didn't play because of a sprained right ankle.