The Taoiseach has said it is "too early" for British tourists to come to Ireland without quarantining for two weeks.
Micheál Martin said that this is due to a rising reproduction rate, and noting the UK's "difficulties" with suppressing the virus.
Concern has been flagged in recent days after reports that British tourists were coming to the state and not following the travel advice.
On Saturday, a further 820 cases were reported in the UK, the highest number for ten days.
Micheál Martin says Ireland is being "very cautious" on travel generally.
"We would be very cautious on international travel, generally," he told the BBC's Andrew Marr show.