The European Commission is proposing further cuts in fishing catches to help protect stocks.
The EU executive has suggested there should be a 25% cut in cod catches for most EU waters, although the northern North Sea will have an 11% increase.
The commission wants a reduction in catches in the majority of fisheries, including a 15% cut for North Sea sole and a 41% cut in North Sea herring.
Europe's fisheries ministers meet in December to set final quotas.
European Fisheries Commissioner Joe Borg said: "The most recent advice from [the scientists] confirms that while the situation remains broadly stable, indeed with some encouraging developments in certain fisheries, most stocks remain over-fished.
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"We must make further efforts if we are to achieve progress towards sustainable fisheries."
The state of European fisheries is assessed each year by the Denmark-based International Council for the Exploration of the Seas (Ices).
In October, it said the number of young cod in the North Sea had shown a slight rise for the second year in a row.
However, Ices warned that heavy cuts in cod catches were still needed to help numbers recover.
It called for a 50% cut in 2006 catch levels.
The recommendations on Total Allowable Catches (TACs) announced by the commission will be considered by EU fisheries ministers on 17-19 December.
Their protracted discussions usually end in quotas for individual nations' trawlers that are larger than the recommendations made by either the commission or Ices.
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