The stubborn figures on borrowing may heighten expectations that the Chancellor will abandon his deadline to start lowering UK debt within three years.
George Osborne is expected to announce in his autumn statement that the Government will be unable to start bringing down debt as a percentage of GDP in 2015/16.
The chances of the Chancellor dropping his target appeared to increase after Bank of England Governor Sir Mervyn King effectively endorsed such a move.
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Accompanied by the Duke of Edinburgh, the Queen will attend the opening ceremony of the fifth session in the Holyrood chamber.
Ms Leadsom has received the backing of Ian Duncan Smith, the former work and pensions secretary.
The former shadow work and pensions secretary is considered a more viable candidate than Angela Eagle, a Labour source has told ITV News.