The Yamaha Tech3 rider took part in the morning warm-up and was 10th fastest after suffering an ankle injury in the Saturday fall.
Crutchlow, who had been targeting a podium finish after starting five successive races this season in the top five, will have to start from the back of the grid.
"Full extent of injury is I have a broken and dislocated left ankle. It's back in place now, but worst pain I've had so will try my best in race," he said on his Twitter feed
Crutchlow missed last year's race after crashing in qualifying and breaking his collarbone in five places.
He is in his second season with the French-based team but is out of contract at the end of the year and faces an uncertain future.
His results this season have caught the eye however, with him qualifying in the top five in all five races so far and taking two fourth-place finishes as well as two fifths.
The Coventry-born rider is currently fifth overall with 56 points after making the best start to a season by a British rider in the top flight since Ron Haslam in 1987.