Andersson has until June 4 to name his final squad for the World Cup, which gets underway on June 14.
Sweden have been drawn against Germany, Mexico and South Korea in Group F.
Goalkeepers: Robin Olsen, Karl-Johan Johnsson, Kristoffer Nordfeldt
Defenders: Mikael Lustig (Celtic/Scotland), Victor Nilsson-Lindelof, Andreas Granqvist, Martin Olsson, Ludwig Augustinsson, Filip Helander (Bologna/Italy), Pontus Jansson, Emil Krafth
Midfielders: Emil Forsberg, Albin Ekdal, Viktor Claesson, Gustav Svensson, Sebastian Larsson, Jimmy Durmaz, Oscar Hiljemark, Marcus Rohden
Forwards: Marcus Berg, Ola Toivonen, John Guidetti, Isaac Kiese-Thelin