The request for permission to search Nicola Sturgeon's home was not granted until after the SNP leadership contest ended.
But opposition parties said the revelation would "raise eyebrows" and questioned the role of Lord Advocate Dorothy Bain KC, who heads the Crown Office but is also a Scottish government minister.
The warrant, which is reported to have included a long list of items the police wanted to seize, was then signed by a sheriff on the same day it was finished. The SNP's headquarters in Edinburgh was also searched on 5 April and a luxury motorhome that sells for about £110,000 was seized from outside the home of Mr Murrell's mother in Dunfermline.
Newspaper reports earlier this year claimed that some people within Police Scotland were frustrated by the direction they were being given by the Crown Office on the SNP investigation. She added: "While I accept that the Lord Advocate may not have had a direct influence on the timing, this story underlines why we need to have a serious discussion about separating the role of the Lord Advocate to ensure that no perception of conflict of interest can ever occur."
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