The actor will play a patient in the show's upcoming November 7 episode 'The Confession', Fox revealed today.
Bamber's character is described as "well-respected", but when he suddenly collapses, the medical team discover that he has been "hiding dark secrets" and "lying about his personal and professional life".
The patient ends up telling the truth to his family and community, but endangers his chances of receiving the right medical treatment by doing so.
Bamber previously starred in Band of Brothers, Battlestar Galactica and British series Outcasts and Law & Order: UK.
Wentworth Miller will guest star in this week's episode of House, which airs tonight at 9/8c on Fox in the US and on Thursday at 10pm on Sky1 in the UK.
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Watch a trailer for the next episode of House below: