The ship departed the Meyer Werft shipyard in Papenburg, Germany, at 9pm on Sunday (26 May) before being towed along the river Ems to Emden.
It arrived at Emden sea lock at about 8am on Monday (27 May).
Spirit of Discovery will now undergo technical and nautical sea trials until mid-June.
Saga will take delivery of the ship on 20 June before a naming ceremony in Dover on 5 July.
The ship will sail its inaugural cruise, A British First, from Dover on 10 July.