King was carted off to the locker room during a late second quarter punt return.
On Instagram earlier this week, King shared an update following surgery.
In four seasons with the Patriots, King has become arguably the second most dependable special teams member after Matthew Slater.
King has seen action in 57 regular-season and 11 playoff games, and has been on the field for 1,227 special-teams plays since his active roster promotion in 2015.
The injury news comes just four months after King signed a two-year, $3.7 million contract extension.
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