The actor and stand-up comic will play an under-appreciated IT technician, according to TV Guide.
"Those [computer] scenes can be dry, so I thought he'd be interesting," explained SVU showrunner Warren Leight.
Tentatively named Leo Gilbert, the character will first appear alongside Detectives Rollins (Kelli Giddish), Amaro (Danny Pino) and Tutuola (Ice-T) in this season's ninth episode, titled 'Lost Traveller'.
Gottfried is known for voicing the parrot Iago in Disney's Aladdin and also starred in the Problem Child movies.
His distinctive voice has also featured in episodes of 30 Rock, Family Guy and Saturday Night Live.
True Blood's Carrie Preston, The West Wing's Timothy Busfield and The Cape's Izabella Miko have also landed roles in Law & Order: SVU's 13th season.
The crime drama continues on Wednesdays at 10/9c on NBC. Gottfried's first appearance will air on November 30.
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Watch a promo for the next episode of Law & Order: SVU - featuring guest star Andre Braugher - below: