The lengthy procedure, which also includes providing fresh bathing water, is creating turmoil among overstretched staff on bustling NHS wards.
But despite the havoc, Mid- Yorkshire NHS Trust says the rule must be instigated whenever possible to ensure Muslim patients have "a more comfortable stay in hospital".
And a taxpayer-funded training programme for several hundred hospital staff has begun to ensure that all are familiar with the workings of the Muslim faith.
The scheme is initially being run at Dewsbury and District Hospital, West Yorkshire, but is set to be introduced at other hospitals in the new year.
It comes on the back of the introduction in some NHS hospitals last year of Burka-style gowns for Muslim patients who did not wish medical staff to see their face while operating or caring for them.