Investigators recommended last month that the search be extended by 25,000 sq km to an area further north in the Indian Ocean, after conceding for the first time they were probably looking in the wrong place.
But Malaysias transport minister, Liow Tiong Lai, told reporters the search of the 120,000 sq km area would be completed but the hunt would then end in the absence of any "credible clue" suggesting it be extended.
The latest report by the search coordinator, the Australian Transport Safety Bureau, was due to be completed in a week or two, he said.
"The search mission will end soon and after that," Liow was quoted as saying by state news agency Bernama.
The report would be made available online, he said, adding: "Any decision based on the report will be done later."
Flight MH370 disappeared in March 2014 with 239 passengers and crew on board, most of them Chinese, en route to Beijing from the Malaysian capital, Kuala Lumpur.
Its whereabouts have become one of the worlds greatest aviation mysteries.
Families of many of those on board have called for the search to continue and to be extended to other areas.
The three countries involved in the search - Malaysia, Australia and China - would meet before Jan. 28 to decide on the next course of action, Liow said.
Australia last month also rejected recommendations to extend the search, citing a lack of "credible evidence".
A total of 33 pieces of wreckage suspected to be from the plane have been found, including parts of wings and a tail, on the shores of Mauritius, the French Indian Ocean island of Reunion, Mozambique, Tanzania and South Africa.