The clip, which has been shared on YouTube and via social media in Australia, prompted a Christian doctor in Perth to start the letter of protest. Nearly 22,000 people have since supported the petition, which demands that the ad be removed.
Appealing to the advertising watchdog to ban the material, Dané Craill branded the two-and-a-half-minute-long video "blasphemy towards Jesus Christ".
In an update, the medic said she had received assurance from Ad Standards that the material would not be broadcast on television. In a message to Premier, Ad Standards confirmed the statement.
Craill said: "As the ad is not airing on television (there was only talk of it), it is hence not within the scope of the board to review the advertisement.
"They have been in contact with the advertiser and stated the following to me in an email:
"'We have been in contact with the advertiser and they have confirmed that the advertisement is not currently broadcast on television as an advertisement, and will not be broadcast on television.'
"Hence, it does not appear that this advertisement will be airing at this stage."
Earlier this month, Premier, reported on how the footage provoked dozens of responses on Facebook - some of which were highly critical.
The film was released as part of Dying to Life - an initiative launched in response to concern Australia "lags behind similar countries in organ and tissue donor registration numbers".
Director, Richard Bullock said: "I wanted to deliberately provoke a conversation in homes around the subject.
"I thought it would be amusing and relevant to find that the nicest and kindest man who ever lived - Jesus, wasn't aware that his organ donor status was no longer on his license.
"Once I started writing I realised that the complexity of the Australian Organ donation could be explained.
"In the end Jesus donating his organs is exactly what I think Jesus WOULD do".
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