The pornography filtering system that was praised by British Prime Minister David Cameron is controlled by Chinese company Huawei.
UK-based employees at Huawei are able to decide which sites TalkTalk's net filtering service blocks.
Politicians in both the UK and the United States have raised concerns about alleged close ties between Huawei and the Chinese government.
According to the BBC, Cameron had praised TalkTalk, saying that it had shown great leadership in setting up its system, Homesafe, in the country.
It is a voluntary scheme which allows subscribers to select categories - including social media, gambling and pornography - that they want blocked.
TalkTalk said it was comfortable with its relationship with Huawei, adding that the service was very popular.
According to the report, Cameron has demanded similar measures be adopted by all internet service providers (ISPs) in the UK, to protect children and their innocence.
For almost a decade, Huawei has been a core part of telecoms infrastructure in the UK - its biggest client, BT, has routinely said it has no concerns about using the firm, the report added.