Soderblom allowed five goals on 35 shots in Thursday's 5-4 overtime loss to the Kings.
Soderblom is expected to start on the road against LA on Thursday, per Ben Pope of the Chicago Sun-Times.
Soderblom turned away 35 of 40 shots in Friday's 5-1 loss to the Predators.
Soderblom will face the Predators at home Friday, Tracey Myers of NHL.com reports.
Soderblom stopped 21 of 23 shots after replacing Petr Mrazek early in the first period of Wednesday's 5-2 loss to the Blues.
Soderblom gave up four goals on 37 shots in a 4-0 loss to Minnesota on Sunday.
Soderblom will guard the home net Sunday against Minnesota, Ben Pope of the Chicago Sun-Times reports.
Soderblom will patrol the road crease versus the Flyers on Saturday, Ben Pope of the Chicago Sun-Times reports.
Soderblom is expected to start on the road against Anaheim on Thursday, according to Scott Powers of The Athletic.
Soderblom will patrol the home crease Friday versus LA, Charlie Roumeliotis of NBC Sports Chicago reports.