The European Commission is set to confirm a list of 14 "safe countries" whose residents will be allowed to travel into the bloc.
Australia, Canada and New Zealand are on the draft list, along with Japan, and South Korea and Thailand.
Some neighbouring states in eastern Europe and the Balkans are expected to be allowed in.
A number of African countries are also listed, including Algeria, Rwanda and Morocco.
The reciprocal travel ban between the United States and Europe is expected to remain in place.