As of March 21, 2020, the U.S. and Canada announced that the Northern border would be closed to “Non-Essential” traffic.

https://www.dhs.gov/news/2020/03/20/joint-statement-us-canada-joint-initiative-temporary-restriction-travelers-crossing 

A similar notice concerning the Southern border was made in a joint announcement between the U.S. and Mexico on March 20, 2020, closing the Southern land border to non-essential travel. 

https://www.dhs.gov/news/2020/03/20/joint-statement-us-mexico-joint-initiative-combat-covid-19-pandemic

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