BEIJING — Despite objections raised by Vice President Joseph R. Biden Jr. in meetings with its top leaders, China appears set to force a correspondent for The New York Times to leave the country this week. It is also continuing to block a number of other journalists working for The Times and for Bloomberg News from taking up assignments in Beijing.

The correspondent, Austin Ramzy, 39, has been based in China for more than six years. He was granted a monthlong visa to remain in China at the end of December, but the government has indicated that he will be required to leave when that visa expires on Thursday.

Mr. Ramzy would be the second Times correspondent in 13 months obliged to leave mainland China because of an unprocessed visa application. It would be the latest sign of official displeasure with the newspaper since it reported in October 2012 that close family members of Wen Jiabao, who was then China’s prime minister, had accumulated vast wealth during his leadership. If he must leave mainland China, Mr. Ramzy is expected to continue reporting on China from outside the mainland, and will continue to seek a long-term residency visa.

After the article about Mr. Wen and his family was published, the Chinese government began blocking access to The Times’s website within China, and has not allowed the newspaper to assign any new correspondents to its Beijing bureau since then.