diff --git a/contrib/unaccent/unaccent--1.0.sql b/contrib/unaccent/unaccent--1.0.sql
index 072b749e4b..9085ca473f 100644
--- a/contrib/unaccent/unaccent--1.0.sql
+++ b/contrib/unaccent/unaccent--1.0.sql
@@ -6,12 +6,12 @@
 CREATE FUNCTION unaccent(regdictionary, text)
 	RETURNS text
 	AS 'MODULE_PATHNAME', 'unaccent_dict'
-	LANGUAGE C IMMUTABLE STRICT;
+	LANGUAGE C STABLE STRICT;
 
 CREATE FUNCTION unaccent(text)
 	RETURNS text
 	AS 'MODULE_PATHNAME', 'unaccent_dict'
-	LANGUAGE C IMMUTABLE STRICT;
+	LANGUAGE C STABLE STRICT;
 
 CREATE FUNCTION unaccent_init(internal)
 	RETURNS internal
diff --git a/contrib/unaccent/unaccent--unpackaged--1.0.sql b/contrib/unaccent/unaccent--unpackaged--1.0.sql
index 5bff74ed6d..abd06983ac 100644
--- a/contrib/unaccent/unaccent--unpackaged--1.0.sql
+++ b/contrib/unaccent/unaccent--unpackaged--1.0.sql
@@ -10,7 +10,7 @@ ALTER EXTENSION unaccent ADD function unaccent_lexize(internal,internal,internal
 ALTER EXTENSION unaccent ADD text search template unaccent;
 ALTER EXTENSION unaccent ADD text search dictionary unaccent;
 
--- These functions were marked as stable in 9.1; they were now marked as immutable
+-- These functions are marked as stable in 9.1, were not before:
 
-ALTER FUNCTION unaccent(regdictionary, text) IMMUTABLE;
-ALTER FUNCTION unaccent(text) IMMUTABLE;
+ALTER FUNCTION unaccent(regdictionary, text) STABLE;
+ALTER FUNCTION unaccent(text) STABLE;