diff --git a/meta/classes/base.bbclass b/meta/classes/base.bbclass
index e375afbda0..bd0d6e3ca6 100644
--- a/meta/classes/base.bbclass
+++ b/meta/classes/base.bbclass
@@ -624,7 +624,7 @@ python () {
             d.appendVarFlag('do_unpack', 'depends', ' lzip-native:do_populate_sysroot')
 
         # *.xz should DEPEND on xz-native for unpacking
-        elif path.endswith('.xz'):
+        elif path.endswith('.xz') or path.endswith('.txz'):
             d.appendVarFlag('do_unpack', 'depends', ' xz-native:do_populate_sysroot')
 
         # .zip should DEPEND on unzip-native for unpacking