"I think Jens Stoltenberg would be an excellent candidate," Cameron said during Prime Minister's Questions in the UK parliament. "I've worked very closely with him and I think it would be very good to have such a candidate who has filled such a high office in his own country."
Stoltenberg was reportedly put forward by Germany Chancellor Angela Merkel, and has already won the backing of the United States.
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Nato Secretary-General Anders Fogh Rasmussen, a former Danish Prime Minister, is scheduled to stand down in September this year.