The upgrade of the Kensington Oval in Barbados, venue for the 2007 World Cup final, will not be completed by the end of the year as orginally scheduled.
Redevelopment costing US$69 million (£54 million) is not expected to be ready until early February.
Seven World Cup matches are to be played in Barbados, with the first on 11 April and the final on 28 April.
Contractors are still waiting to take delivery of specially designed pieces that will make up the grandstand roof.
Barbados organizing committee chief executive Stephen Alleyne said: "Kensington is still a construction site, and there is still some work to be done.
"We cannot have any matches being played there in the lead-up to the cricket World Cup, and definitely not in January."
It is time to let the grass grow back so we can get a good covering of grass
The cricket ground, one of the oldest in the Caribbean, was demolished and rebuilt to expand capacity to 28,000.
Club teams played some matches on the field's new grass in October.
But contests scheduled for the first week in January will have to be switched to another venue.
Alleyne said: "We had some test events in October and now it is time to let the grass grow back so we can get a good covering of grass."