Ware will start Wednesday's preseason game against the Thunder.
Ware came off the bench and posted a double-double during his Bucks debut, and he'll now supplant Kyle Kuzma in the starting lineup for Milwaukee's second exhibition game. Ware started 35 regular-season games for the Heat last year, averaging 12.8 points, 11.0 rebounds, 0.9 assists, 1.3 blocks and 0.8 steals per game.