Sturgeon, who has led the country’s devolved government and the Scottish National Party for eight years, is expected to give a news conference later at her official residence, Bute House in Edinburgh.
Her office declined to comment on the report.
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Scotland’s leader has been under fire amid a controversy over a Scottish law that makes it easier for people to change their gender on official documents.
Scotland is part of the UK but, like Wales and Northern Ireland, has its own semi-autonomous government with broad powers over areas including health care.