The BBC said it would decide whether to play Ding Dong The Witch Is Dead during Radio 1's top 40 countdown when places are finalised at the weekend.
The song entered the download singles chart following the death of Margaret Thatcher.
The spokesperson said: "The Official Chart Show on Sunday is a historical and factual account of what the British public has been buying and we will make a decision about playing it when the final chart positions are clear."
More top news
A revolutionary cancer-fighting machine will deliver proton beam therapy for the first time in the UK.
Low pressure brings cooler, more seasonal weather over the next few days.
Donald Trump has denied making or possessing recordings of chats with his fired FBI chief James Comey, despite hints to the contrary.