diff --git a/test/completion/basic.py b/test/completion/basic.py
index d5457ea5..b18c58ac 100644
--- a/test/completion/basic.py
+++ b/test/completion/basic.py
@@ -232,6 +232,7 @@ def a():
 #?
 # str literals in comment """ upper
 
+# python >= 3.11
 def completion_in_comment():
     #? ['Exception', 'ExceptionGroup']
     # might fail because the comment is not a leaf: Exception
diff --git a/test/completion/completion.py b/test/completion/completion.py
index f0dcb18a..b005e956 100644
--- a/test/completion/completion.py
+++ b/test/completion/completion.py
@@ -31,6 +31,7 @@ if x:
 #? ['else']
 else
 
+# python >= 3.11
 try:
     pass
 #? ['except', 'Exception', 'ExceptionGroup']
diff --git a/test/completion/fstring.py b/test/completion/fstring.py
index 59fe5f6e..8aaed5e9 100644
--- a/test/completion/fstring.py
+++ b/test/completion/fstring.py
@@ -1,3 +1,4 @@
+# python >= 3.11
 class Foo:
     bar = 1
 
diff --git a/test/completion/keywords.py b/test/completion/keywords.py
index 1c885e7e..5f0d396a 100644
--- a/test/completion/keywords.py
+++ b/test/completion/keywords.py
@@ -2,6 +2,7 @@
 #? ['raise']
 raise
 
+# python >= 3.11
 #? ['Exception', 'ExceptionGroup']
 except
 
diff --git a/test/completion/named_param.py b/test/completion/named_param.py
index ef659574..521144fc 100644
--- a/test/completion/named_param.py
+++ b/test/completion/named_param.py
@@ -108,6 +108,8 @@ def z(bam, bar=2, *, bas=1):
 #? 7 ['bar=', 'baz=']
 x(1, ba)
 
+# python >= 3.11
+
 #? 14 ['baz=']
 x(1, bar=2, ba)
 #? 7 ['bar=', 'baz=']
diff --git a/test/completion/pep0484_typing.py b/test/completion/pep0484_typing.py
index d0deba0f..c066e753 100644
--- a/test/completion/pep0484_typing.py
+++ b/test/completion/pep0484_typing.py
@@ -583,6 +583,7 @@ b = Builder()
 b.add_x(2)
 #? Builder()
 b.add_x(2).add_y(5)
+# python >= 3.11
 #? Builder()
 b.add_x(2).add_not_implemented(5)
 #? Builder()
diff --git a/test/completion/types.py b/test/completion/types.py
index f68ba0d6..77f2dd0c 100644
--- a/test/completion/types.py
+++ b/test/completion/types.py
@@ -2,6 +2,7 @@
 # non array
 # -----------------
 
+# python >= 3.12
 #? ['imag']
 int.imag
 
diff --git a/test/test_api/test_classes.py b/test/test_api/test_classes.py
index b699d752..3b89feec 100644
--- a/test/test_api/test_classes.py
+++ b/test/test_api/test_classes.py
@@ -188,11 +188,15 @@ def test_functions_should_have_params(Script):
                 assert c.get_signatures()
 
 
-def test_hashlib_params(Script):
+def test_hashlib_params(Script, environment):
     script = Script('from hashlib import sha256')
     c, = script.complete()
     sig, = c.get_signatures()
-    assert [p.name for p in sig.params] == ['data', 'usedforsecurity', 'string']
+    if environment.version_info >= (3, 13):
+        wanted = ['data', 'usedforsecurity', 'string']
+    else:
+        wanted = ['string', 'usedforsecurity']
+    assert [p.name for p in sig.params] == wanted
 
 
 def test_signature_params(Script):