"Our embassy to the UK yesterday began to collect information on people in need of so-called humanitarian return due to family circumstances or any emerging situations that would require an immediate return," he told reporters.
Such individuals are advised to contact the embassy's consular section, he said, adding that "it’s not hundreds of people".
The minister said every situation will be looked at on a case-by-case basis.
One could expect the government's help in returning from the UK "if there is a loss in the family, obvious problems with accommodation, separation of children and parents" and other reasons, Landsbergis said.
"I can also confirm that we are looking for a common solution for the Baltic states," he said. "I'm in constant contact with the Latvian and Estonian foreign ministers, as is the transport minister, and we are looking for a common solution to help our citizens. "
It has yet to be decided when and how people could be taken back home.
Landsbergis did not rule out that travelers might later have to pay for their transportation.
The government on Sunday imposed a ban on all passenger flights from the UK amid fears about a new strain of coronavirus in the country.
The measure, in effect from 4 a.m. on Monday through December 31, does not affect cargo flights.