diff --git a/jsonschema/tests/test_jsonschema_test_suite.py b/jsonschema/tests/test_jsonschema_test_suite.py
index 388f7ee78..01f136a96 100644
--- a/jsonschema/tests/test_jsonschema_test_suite.py
+++ b/jsonschema/tests/test_jsonschema_test_suite.py
@@ -62,7 +62,7 @@ def narrow_unicode_build(test):  # pragma: no cover
 def bug(issue=None):
     message = "A known bug."
     if issue is not None:
-        message += " See issue #{issue}".format(issue=issue)
+        message += " See issue #{issue}.".format(issue=issue)
     return message
 
 
@@ -100,6 +100,21 @@ def bug(issue=None):
             subject="ref",
             case_description="Recursive references between schemas",
         )(test)
+        or skip(
+            message=bug(371),
+            subject="ref",
+            case_description="Location-independent identifier",
+        )(test)
+        or skip(
+            message=bug(371),
+            subject="ref",
+            case_description="Location-independent identifier with absolute URI",
+        )(test)
+        or skip(
+            message=bug(371),
+            subject="ref",
+            case_description="Location-independent identifier with base URI change in subschema",
+        )(test)
         or skip(
             message=bug(),
             subject="refRemote",
@@ -134,6 +149,21 @@ def bug(issue=None):
             subject="ref",
             case_description="Recursive references between schemas",
         )(test)
+        or skip(
+            message=bug(371),
+            subject="ref",
+            case_description="Location-independent identifier",
+        )(test)
+        or skip(
+            message=bug(371),
+            subject="ref",
+            case_description="Location-independent identifier with absolute URI",
+        )(test)
+        or skip(
+            message=bug(371),
+            subject="ref",
+            case_description="Location-independent identifier with base URI change in subschema",
+        )(test)
         or skip(
             message=bug(),
             subject="refRemote",
@@ -168,6 +198,21 @@ def bug(issue=None):
             subject="ref",
             case_description="Recursive references between schemas",
         )(test)
+        or skip(
+            message=bug(371),
+            subject="ref",
+            case_description="Location-independent identifier",
+        )(test)
+        or skip(
+            message=bug(371),
+            subject="ref",
+            case_description="Location-independent identifier with absolute URI",
+        )(test)
+        or skip(
+            message=bug(371),
+            subject="ref",
+            case_description="Location-independent identifier with base URI change in subschema",
+        )(test)
         or skip(
             message=bug(),
             subject="refRemote",