Saturday's Dagens Nyheter publishes a survey by Synovate where only 51 per cent of the respondents supported the idea of king Carl Gustaf XVI king staying on the throne, down from 64 per cent in February.
One in three would rather see his daughter Victoria on the throne right now - almost a doubling compared to the previous survey.
And support for the monarchy in general is down to 70 per cent, compared to 80 per cent in 2005.
A book claiming to reveal unflattering details of the king's private life was recently published. Nicklas Källebring at Synovate says to Dagens Nyheter that while he cannot exclude the possibility that this is what has hurt the king's popularity, it is still "pure speculation".