Consensus on the recommendation was reached during a meeting between officials of the EU countries' ministries of health in Brussels.
On Wednesday, a crisis meeting will be held to decide on coordinated measures.
The United States, France and Japan are some of the countries that have already introduced special requirements for travelers from China.
There it is now required that travelers be tested before they are allowed to travel into the country.
Earlier on Tuesday, China threatened to "take countermeasures".
- This lacks a scientific basis and some methods are completely unacceptable, said Mao Ning, spokesperson for the Chinese Ministry of Foreign Affairs.
France stands firm
In France, for example, they are still adamant about testing travelers.
During Tuesday morning, the country's prime minister confirmed that the decision is firm.
- I believe we are doing our duty to protect the French people by demanding testing, said Prime Minister Elisabeth Borne when she was asked to react to China's protests.
China has a sharply increasing number of covid-infected people in the country since the strict zero-tolerance strategy was recently abandoned.
According to a doctor quoted by state media, as many as 70 percent of the multi-million city Shanghai's residents may have been infected in the latest wave.
Several other million cities are also hard hit, including Beijing, Tianjin, Chongqing and Canton (Guangzhou).
Questioned data
The World Health Organization (WHO) has called on China to share real-time data on Covid cases, and also offered expert help to tackle the latest outbreak.
Many question China's official data because the infection numbers and above all the death rates are so low, despite reports that hospitals in the country are overcrowded.
Nowadays, people entering China do not need to be quarantined, which has led many to plan trips abroad.
Beijing residents on the travel restrictions: "If we want to travel abroad, we have to accept it":
Javascript is disabled
Javascript must be enabled to play video
Read more about browser support
Sampling station for covid-19 at Arlanda Airport.
Archive image.
Photo: Claudio Bresciani/TT