The dead sea scrolls indicate as much.
I don’t really care that much what Josephus has to say, and I don’t understand why so many do, since he, as far as we know, is one of the Jews contemporaneous with the Apostles who rejected Christ. I would care more if he had lived a century earlier or been among the Jewish converts to Christianity, like the Ethiopian Orthodox Christians or a large number of the Syriac, Antiochian, and Indian Orthodox Christians (and the other Mar Thoma Christians of Malankara, some of whom are purely ethnically Jewish and endogamous, and some of whom are descended from both the Indian population of Malankara and the Malabar Coast, and the Kochin Jews of Kerala, who themselves mostly emigrated to Israel in the 2nd century (Vidal Sassoon was from the prominent Kochin Jewish Sassoon family, who were famed for their philanthropy and are noted in the 1906 Jewish Encyclopedia) and those of the Assyrian Church of the East. One example of a Jewish convert to Christianity whose writing I love is Mar Gregorios bar Hebraeus, who was the Maphrian (presiding bishop of the Eastern half of the Syriac Orthodox Church in Mesopotamia, subordinate only to the Patriarch of Antioch, who presides over the Western half of the church in Syria, Turkey and Jerusalem) about a thousand years ago.