Staff at Pinderfields, Pontefract and Dewsbury hospitals have been battling to provide safe patient care during a winter surge in emergency attendances.
Bosses at the trust have urged people only to turn up at A&E if they are in a genuine emergency.
Trudie Davies, Mid Yorkshire’s director of hospital services operations, said: “Over recent days we have seen, and continue to see, unprecedented levels of demand across all our A&E departments.
“We are continuing to do all we can to ensure we maintain safe levels of care for all our patients.
“We urge the public to remember there are alternatives to A&E and to only come to A&E if they are really sick.”