The state said in a filing yesterday that lifting the stay will allow it to challenge the third and latest version of the ban before it takes effect later this month.
Five other states, Oregon, Maryland, Massachusetts, New York and California, are also involved in the case.
The filing says the states have talked with Trump administration lawyers and that they do not oppose lifting the stay.
The Trump administration on September 24 issued a proclamation outlining the most recent restrictions, which affect citizens of Chad, Iran, Libya, North Korea, Somalia, Syria, and Yemen, and some Venezuelan government officials and their families. It's scheduled to take effect October 18.
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Administration officials have said this version is the result of a lengthy process, based on an objective assessment of each country's security situation and willingness to share information with the US.
The administration's additional measures to limit travel have come after a broad ban that sparked chaos at US airports in January and challenges in courts across the country. The administration later issued a temporary order after suffering legal setbacks on the earlier attempt at restrictions.