diff --git a/Tests/test_file_libtiff.py b/Tests/test_file_libtiff.py
index 05433d9b6..ce77e05de 100644
--- a/Tests/test_file_libtiff.py
+++ b/Tests/test_file_libtiff.py
@@ -31,7 +31,7 @@ class LibTiffTestCase(PillowTestCase):
 
         try:
             self.assertEqual(im._compression, 'group4')
-        except:
+        except AttributeError:
             print("No _compression")
             print(dir(im))
 
@@ -194,7 +194,7 @@ class TestFileLibTiff(LibTiffTestCase):
         for tag in im.tag_v2:
             try:
                 del(core_items[tag])
-            except:
+            except KeyError:
                 pass
 
         # Type codes:
diff --git a/Tests/test_locale.py b/Tests/test_locale.py
index 142753791..5aef8427b 100644
--- a/Tests/test_locale.py
+++ b/Tests/test_locale.py
@@ -29,7 +29,7 @@ class TestLocale(PillowTestCase):
         Image.open(path)
         try:
             locale.setlocale(locale.LC_ALL, "polish")
-        except:
+        except locale.Error:
             unittest.skip('Polish locale not available')
         Image.open(path)