diff --git a/poky/meta/classes/sstate.bbclass b/poky/meta/classes/sstate.bbclass
index a8ae751..d08d950 100644
--- a/poky/meta/classes/sstate.bbclass
+++ b/poky/meta/classes/sstate.bbclass
@@ -72,6 +72,7 @@
 
 SSTATE_ARCHS = " \
     ${BUILD_ARCH} \
+    ${BUILD_ARCH}_${ORIGNATIVELSBSTRING} \
     ${BUILD_ARCH}_${SDK_ARCH}_${SDK_OS} \
     ${BUILD_ARCH}_${TARGET_ARCH} \
     ${SDK_ARCH}_${SDK_OS} \
@@ -80,6 +81,7 @@
     ${PACKAGE_ARCH} \
     ${PACKAGE_EXTRA_ARCHS} \
     ${MACHINE_ARCH}"
+SSTATE_ARCHS[vardepsexclude] = "ORIGNATIVELSBSTRING"
 
 SSTATE_MANMACH ?= "${SSTATE_PKGARCH}"
 
@@ -121,6 +123,8 @@
 python () {
     if bb.data.inherits_class('native', d):
         d.setVar('SSTATE_PKGARCH', d.getVar('BUILD_ARCH', False))
+        if d.getVar("PN") == "pseudo-native":
+            d.appendVar('SSTATE_PKGARCH', '_${ORIGNATIVELSBSTRING}')
     elif bb.data.inherits_class('crosssdk', d):
         d.setVar('SSTATE_PKGARCH', d.expand("${BUILD_ARCH}_${SDK_ARCH}_${SDK_OS}"))
     elif bb.data.inherits_class('cross', d):