diff --git a/meta/classes/populate_sdk_base.bbclass b/meta/classes/populate_sdk_base.bbclass
index 8258224..2fe7f15 100644
--- a/meta/classes/populate_sdk_base.bbclass
+++ b/meta/classes/populate_sdk_base.bbclass
@@ -7,7 +7,7 @@ SDK_DEPLOY = "${TMPDIR}/deploy/sdk"
 
 SDKTARGETSYSROOT = "${SDKPATH}/sysroots/${MULTIMACH_TARGET_SYS}"
 
-TOOLCHAIN_HOST_TASK ?= "nativesdk-packagegroup-sdk-host packagegroup-cross-canadian-${TRANSLATED_TARGET_ARCH}"
+TOOLCHAIN_HOST_TASK ?= "nativesdk-packagegroup-sdk-host packagegroup-cross-canadian-${@' packagegroup-cross-canadian-'.join(all_multilib_tune_values(d, 'TRANSLATED_TARGET_ARCH').split())}"
 TOOLCHAIN_HOST_TASK_ATTEMPTONLY ?= ""
 TOOLCHAIN_TARGET_TASK ?= "packagegroup-core-standalone-sdk-target packagegroup-core-standalone-sdk-target-dbg"
 TOOLCHAIN_TARGET_TASK_ATTEMPTONLY ?= ""
