When Jesus sets up His Kingdom, He will build the fourth Temple north of Jerusalem described on Zechariah 6:12 and Ezekiel chapters 40 to 48.
The Millennial Temple is predicted to have walls over a mile long. This huge size would not fit in Jerusalem, let alone on the Temple Mount.
Ezekiel indicates that it will be located in the section of land known as the prince's portion, Ezekiel 45:7, about 25 miles north of Jerusalem in a new Millennial city.