The Cardinals announced Monday that Blackshear, averaging 9.2 points and 3.9 rebounds per contest while starting 19 of 20 games, is expected to be out for a "short period" after spraining his right shoulder in practice on Sunday.
Ware has been suspended indefinitely for an unspecified reason. He was averaging 3.8 points and nearly 16 minutes a game.
The Cardinals (16-4, 4-3 Big East) have lost three in a row and fallen 11 spots since being ranked No. 1 two weeks ago.