The report cited a senior Israeli official as saying that the task force would not escort ships in the Red Sea, but its presence would make it easier to respond to threats.
The media also cited US officials as saying that the Biden administration has recently sent several messages to Houthi rebels via a number of channels warning them to stop attacks on ships in the Red Sea and against Israel.
US Special Envoy for Yemen Tim Lenderking has recently visited the Gulf and asked his Saudi Arabian, Omani and Qatari counterparts to convey warning messages to the Houthis and said that Washington is highly concerned about rebels' attacks on ships in the Red Sea, the report said, adding that several countries in the region gave similar messages to the movement and made clear that their attacks are "unacceptable."
Pentagon Press Secretary Pat Ryder told a briefing on Thursday that information about the task force would be provided in the near future.
The Houthis have earlier said that they would continue to prevent the passage of ships in the Red Sea and the Arabian Sea linked to Israeli companies or bound for Israel until Israel's military action in the Palestinian Gaza Strip ends.
After the conflict broke out between Israel and Palestinian movement Hamas on October 7, the Houthis have conducted multiple missile and drone attacks, threatening civilian infrastructure in Israel and commercial shipping operating in the Red Sea and the Gulf of Aden.