There is a hope that Kulusevski will be available for Sweden's second game against Slovakia, but both will be absent for the contest in Seville.
Pontus Jansson had emerged as a doubt earlier this week after missing a training session due to illness, but the Brentford defender has tested negative for coronavirus and will therefore be available.
Sweden are expected to line up in a 4-4-2 formation for the Group E clash, with Marcus Berg, who is the leading goalscorer in the squad with 24, being joined by Alexander Isak in the final third of the field.
Isak scored 17 times for Real Sociedad during the 2020-21 campaign and is likely to benefit from the absence of the injured Zlatan Ibrahimovic.
Sweden possible starting lineup: Olsen; Lustig, Lindelof, Danielson, Augustinsson; S Larsson, Ekdal, Olsson, Forsberg; Isak, Berg