diff --git a/IPython/core/oinspect.py b/IPython/core/oinspect.py
index 892b6f0..0684770 100644
--- a/IPython/core/oinspect.py
+++ b/IPython/core/oinspect.py
@@ -645,7 +645,7 @@ class Inspector(Colorable):
             # Functions, methods, classes
             append_field(_mime, 'Signature', 'definition', code_formatter)
             append_field(_mime, 'Init signature', 'init_definition', code_formatter)
-            if detail_level > 0:
+            if detail_level > 0 and info['source']:
                 append_field(_mime, 'Source', 'source', code_formatter)
             else:
                 append_field(_mime, 'Docstring', 'docstring', formatter)
diff --git a/IPython/core/tests/test_oinspect.py b/IPython/core/tests/test_oinspect.py
index 3db81fb..1f9b920 100644
--- a/IPython/core/tests/test_oinspect.py
+++ b/IPython/core/tests/test_oinspect.py
@@ -18,7 +18,7 @@ from IPython.core.magic import (Magics, magics_class, line_magic,
                                 register_line_cell_magic)
 from decorator import decorator
 from IPython.testing.decorators import skipif
-from IPython.testing.tools import AssertPrints
+from IPython.testing.tools import AssertPrints, AssertNotPrints
 from IPython.utils.path import compress_user
 from IPython.utils import py3compat
 from IPython.utils.signatures import Signature, Parameter
@@ -406,12 +406,12 @@ def test_property_docstring_is_in_info_for_detail_level_0():
             pass
 
     ip.user_ns['a_obj'] = A()
-    nt.assert_equals(
+    nt.assert_equal(
         'This is `foobar` property.',
         ip.object_inspect('a_obj.foobar', detail_level=0)['docstring'])
 
     ip.user_ns['a_cls'] = A
-    nt.assert_equals(
+    nt.assert_equal(
         'This is `foobar` property.',
         ip.object_inspect('a_cls.foobar', detail_level=0)['docstring'])
 
@@ -429,6 +429,29 @@ def test_pinfo_nonascii():
     ip._inspect('pinfo', 'nonascii2', detail_level=1)
 
 
+def test_pinfo_docstring_no_source():
+    """Docstring should be included with detail_level=1 if there is no source"""
+    with AssertPrints('Docstring:'):
+        ip._inspect('pinfo', 'str.format', detail_level=0)
+    with AssertPrints('Docstring:'):
+        ip._inspect('pinfo', 'str.format', detail_level=1)
+
+
+def test_pinfo_no_docstring_if_source():
+    """Docstring should not be included with detail_level=1 if source is found"""
+    def foo():
+        """foo has a docstring"""
+
+    ip.user_ns['foo'] = foo
+
+    with AssertPrints('Docstring:'):
+        ip._inspect('pinfo', 'foo', detail_level=0)
+    with AssertPrints('Source:'):
+        ip._inspect('pinfo', 'foo', detail_level=1)
+    with AssertNotPrints('Docstring:'):
+        ip._inspect('pinfo', 'foo', detail_level=1)
+
+
 def test_pinfo_magic():
     with AssertPrints('Docstring:'):
         ip._inspect('pinfo', 'lsmagic', detail_level=0)