Yes, your statement is accurate. The Bible does not provide an exact date for the birth of Jesus. The celebration of Christmas as the birth of Jesus is a tradition that developed over time. December 25th was chosen as the date to celebrate Christmas, but it is not specified in the Bible. The choice of this date is thought to have been influenced by various factors, including the alignment with existing winter solstice festivals and the desire to Christianize pagan celebrations.
In summary, while Christmas is widely celebrated as the birth of Jesus, the Bible does not specify the exact date of Jesus' birth.