The Bulls have lost eight straight road games since defeating the Atlanta Hawks on January 20. They are the worst road team in the NBA, winning only two of 29 games away from the United Center this season.
The Cavaliers have lost 18 of 25 games at Gund Arena for the worst home record in the league. They have lost eight of their last 10 games here.
Chicago had lost eight straight games overall before an 88-69 victory over the Denver Nuggets on Saturday.
Tyson Chandler had 19 points and a career-high 22 rebounds and Jalen Rose totaled 27 and 10 for the Bulls, who held an overwhelming 61-41 advantage on the boards, including 23 offensive rebounds, leading to 32 second-chance points.
Chicago is trying to win consecutive games for the fifth time this season and first since January 24 and 26.
Cleveland has won just twice in its last 15 games and fell to 0-2 on a four-game homestand with a 90-75 loss to the Detroit Pistons on Sunday.
Chicago has won two of three games against Cleveland this season, posting both victories on its home floor.