The vessel is due to depart from the port on a transatlantic crossing to New York on Friday (3 September).
In a statement posted on Twitter, Virgin Voyages said Portsmouth will "forever have a place in our heart".
"We couldn’t have been more grateful for your support as we sailed for the first time," it added. "Thousands of sailors have seen the world after sailing from this port and come back with tall tales to tell.
"We’ve added thousands more to those that had epic experiences and journeys of a lifetime that all started right here. See you soon."
The line’s second vessel, Valiant Lady, is set to make its debut from the port next year.
