diff --git a/jedi/evaluate/helpers.py b/jedi/evaluate/helpers.py
index 497b81c6..1b0a7f2a 100644
--- a/jedi/evaluate/helpers.py
+++ b/jedi/evaluate/helpers.py
@@ -8,7 +8,7 @@ from contextlib import contextmanager
 from parso.python import tree
 
 from jedi._compatibility import unicode
-from jedi.parser_utils import get_parent_scope
+from jedi.parser_utils import get_parent_scope, is_name_of_func_or_class_def
 
 
 def is_stdlib_path(path):
@@ -166,13 +166,33 @@ def get_module_names(module, all_scopes):
     Returns a dictionary with name parts as keys and their call paths as
     values.
     """
-    names = chain.from_iterable(module.get_used_names().values())
+    names = list(chain.from_iterable(module.get_used_names().values()))
     if not all_scopes:
         # We have to filter all the names that don't have the module as a
         # parent_scope. There's None as a parent, because nodes in the module
         # node have the parent module and not suite as all the others.
         # Therefore it's important to catch that case.
-        names = [n for n in names if get_parent_scope(n) == module]
+
+        def is_module_scope_name(name):
+            parent_scope = get_parent_scope(name)
+            if is_name_of_func_or_class_def(name, parent_scope):
+                # XXX: In syntax tree function- and class-name nodes are immediate children of
+                # their respective class-definition or function-definition nodes. Technically,
+                # get_parent_scope(...) for them should return the parent of the definition node,
+                # because
+                #
+                # def foo(...): pass
+                #
+                # is equivalent to
+                #
+                # foo = lambda(...): None
+                #
+                # but that would be a big change that could break type inference, whereas for now
+                # this discrepancy looks like only a problem for "get_module_names".
+                parent_scope = parent_scope.parent
+            return parent_scope in (module, None)
+
+        names = [n for n in names if is_module_scope_name(n)]
     return names
 
 
diff --git a/jedi/parser_utils.py b/jedi/parser_utils.py
index 869aaedb..eea63e3f 100644
--- a/jedi/parser_utils.py
+++ b/jedi/parser_utils.py
@@ -238,6 +238,14 @@ def is_scope(node):
     return node.type in ('file_input', 'classdef', 'funcdef', 'lambdef', 'comp_for')
 
 
+def is_name_of_func_or_class_def(name_node, func_or_class_def_node):
+    """Return True if name_node is the name of the func_or_class_def_node."""
+    return (
+        name_node.parent is func_or_class_def_node and
+        name_node.type == 'name' and
+        func_or_class_def_node.type in ('classdef', 'funcdef'))
+
+
 def get_parent_scope(node, include_flows=False):
     """
     Returns the underlying scope.
diff --git a/test/test_api/test_defined_names.py b/test/test_api/test_defined_names.py
index 4df1181f..31814e0f 100644
--- a/test/test_api/test_defined_names.py
+++ b/test/test_api/test_defined_names.py
@@ -79,6 +79,22 @@ class TestDefinedNames(TestCase):
         self.assert_definition_names(subsubdefs, ['L3', 'f'])
         self.assert_definition_names(subsubdefs[0].defined_names(), ['f'])
 
+    def test_class_fields_with_all_scopes_false(self):
+        definitions = self.check_defined_names("""
+        from module import f
+        g = f(f)
+        class C:
+            h = g
+
+        def foo(x=a):
+           bar = x
+           return bar
+        """, ['f', 'g', 'C', 'foo'])
+        C_subdefs = definitions[-2].defined_names()
+        foo_subdefs = definitions[-1].defined_names()
+        self.assert_definition_names(C_subdefs, ['h'])
+        self.assert_definition_names(foo_subdefs, ['x', 'bar'])
+
 
 def test_follow_imports(environment):
     # github issue #344