The National Trust, which runs Dunham Massey in Cheshire, said it was “reviewing all plans”.
Government guidelines in lockdown warn against all but essential travel.
A National Trust spokesman said: “Ticket holders will be informed directly if their booking is affected and will be advised of all their options.
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“The safety and well-being of our visitors remains of the utmost importance to us and we are working closely with our partners to carefully consider our next steps."