Trevor Noah, 31, took over as host of The Daily Show in September replacing Jon Stewart, who stepped down after 16 years.
Comedy Central canceled the live show on November 4 and aired a repeat, but said “the procedure went well” and Trevor Noah was “currently recuperating from surgery”.
The channel tweeted: “We expect he and the show will be back with an original episode tomorrow.”
Fellow late night TV host Jimmy Fallon, of The Tonight Show, was one of the people who wished Trevor Noah well on Twitter.
Jimmy Fallon tweeted: “Hey @Trevornoah, tell everyone at the hospital I said hey! Get better soon buddy!”
Before taking over as host on The Daily Show, Trevor Noah made his debut as an international correspondent in December.
Trevor Noah appeared on three different occasions on The Daily Show before being offered the top slot. His first show on September 28 received mixed reviews from critics.
During the first four weeks as host, audience figures rose 20% among young adults aged 18-24.
Trevor Noah is the third host of The Daily Show.
Prior to Jon Stewart, Craig Kilborn was the first face of the series from July 1996 to December 1998.
Trevor Noah, the son of a black South African woman and a white Swiss man, comes from South Africa’s biggest township of Soweto.
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