The 23-month old has a degenerative neurological condition and is in a semi-vegetative state.
His parents have appealed to the Pope after losing fights in the High Court, Court of Appeal, Supreme Court and European Court of Human Rights after Mr Justice Hayden ruled that doctors could stop providing life-support treatment for him.
However, at the Catholic Bishop's conference of We affirm our conviction that all those who are and have been taking the agonising decisions regarding the care of Alfie Evans act with integrity and for Alfie's good as they see it."
They continued to praise the hospital workers: "The professionalism and care for severely ill children shown at Alder Hey Hospital is to be recognised and affirmed. We know that recently reported public criticism of their work is unfounded as our chaplaincy care for the staff, and indeed offered to the family, has been consistently provided."
The parents want to bring their son to Italy for treatment but Mr Justice Hayden said flying Alfie to a foreign hospital would be wrong and pointless.
The bishops said: "It is for that Hospital to present to the British Courts, where crucial decisions in conflicts of opinion have to be taken, the medical reasons for an exception to be made in this tragic case."
They concluded: "With the Holy Father, we pray that, with love and realism, everything will be done to accompany Alfie and his parents in their deep suffering."
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