Borgen signed a five-year, $20.5 million contract with the Rangers on Saturday, per Chris Johnston of The Athletic.
Borgen notched an assist and had two shots on goal in Thursday's 6-1 win over the Flyers.
Borgen produced an assist, two hits and four blocked shots in Tuesday's 5-4 overtime loss to the Stars.
Borgen notched an assist, three hits, two blocked shots and a plus-3 rating in Tuesday's 5-4 overtime loss to the Golden Knights.
Borgen notched an assist in Wednesday's 6-2 win over the Blackhawks.
Borgen went scoreless with an even rating in Monday's 3-0 loss against the Penguins.
Borgen picked up two assists while adding a team-high six hits, two blocked shots and a plus-1 rating in Tuesday's 5-2 win over the Sabres.
Borgen notched two assists, two hits, five blocked shots and a plus-2 rating in Tuesday's 4-0 win over the Panthers.
Borgen notched two assists in Saturday's 3-2 loss to the Panthers.
Borgen signed a two-year, $5.4 million contract with Seattle on Friday, Elliotte Friedman of Sportsnet reports.