(SportsNetwork.com) - The Dallas Mavericks are going to be some tired young men Wednesday night when they complete their road trip at the Bradley Center against the Milwaukee Bucks.

The Mavs needed two overtimes to emerge victorious in Chicago on Tuesday night. Dallas won, 132-129, over the Bulls to run their winning streak to four games. The Mavericks will go for a perfect 4-0 trip with a victory on Wednesday.

Monta Ellis scored a season-high 38 points in the double-overtime thriller. Ellis, who shot 16-of-35 from the floor, sent the game to overtime with three free throws and essentially won it with a 3-pointer in the second overtime to help the Mavs win their fourth straight.

"We played good as a team," said Ellis. "I was just taking what the defense was giving me all night. Some went in, some didn't but they went in when they needed to."

Chandler Parsons deposited 24 points and Dirk Nowitzki netted 22 on 8-of-22 shooting in the win to go with 10 assists. Devin Harris added 20 points off the bench. J.J. Barea chipped in 13 points in just about 13 minutes and Tyson Chandler grabbed 14 rebounds.

Head coach Rick Carlisle did a good job managing minutes despite 10 extra minutes of action. Only Nowitzki, Ellis and Parsons played more than 40 minutes on Tuesday.

Dallas will play four of its next five at home following Wednesday's tilt with the Bucks.

Milwaukee dropped its second in a row on Tuesday, a Central Division road setback to LeBron James and the Cleveland Cavaliers, 111-108. The two-game slide came on the throws of a three-game winning streak.

Brandon Knight posted 27 points, eight assists, six boards and three steals, while Jabari Parker supplied 22 points and eight rebounds for Milwaukee. O.J. Mayo and Giannis Antetokounmpo each had 14 in the loss.

The Bucks built a 13-point lead in the third quarter, but couldn't sustain their play. They also had a hard time containing Cleveland's Big Three, each of whom eclipsed the 25-point mark.

Cleveland trailed 89-86 with 5:05 remaining before it went on an 11-2 run to seize control.

Kevin Love started it with a 3-pointer, Kyrie Irving gave the Cavs the lead with an acrobatic drive and scoop layup for a three-point play, and Mike Miller capped the surge with a left wing triple for a 97-91 Cleveland advantage with three minutes left.

Milwaukee did not make it a one-possession game again until the waning seconds.

"This is a good learning experience ... We gave ourselves a chance to win," said Bucks coach Jason Kidd, who won an NBA title with the Mavericks in 2011.

The Mavs have won three in a row against the Bucks, including two straight in Milwaukee.