diff --git a/Lib/email/generator.py b/Lib/email/generator.py
index d8b8fa9..edba13f 100644
--- a/Lib/email/generator.py
+++ b/Lib/email/generator.py
@@ -386,6 +386,9 @@
                     h = Header(v, charset=_charset.UNKNOWN8BIT, header_name=h)
                 else:
                     h = Header(v, header_name=h)
+            else:
+                # Assume it is a Header-like object.
+                h = v
             self.write(h.encode(linesep=self._NL,
                                 maxlinelen=self._maxheaderlen)+self._NL)
         # A blank line always separates headers from body
diff --git a/Lib/test/test_email/test_email.py b/Lib/test/test_email/test_email.py
index a4d39ab..1f354c2 100644
--- a/Lib/test/test_email/test_email.py
+++ b/Lib/test/test_email/test_email.py
@@ -3601,6 +3601,30 @@
         g.flatten(msg)
         self.assertEqual(s.getvalue(), source)
 
+    def test_bytes_generator_b_encoding_linesep(self):
+        # Issue 14062: b encoding was tacking on an extra \n.
+        m = Message()
+        # This has enough non-ascii that it should always end up b encoded.
+        m['Subject'] = Header('žluťoučký kůň')
+        s = BytesIO()
+        g = email.generator.BytesGenerator(s)
+        g.flatten(m, linesep='\r\n')
+        self.assertEqual(
+            s.getvalue(),
+            b'Subject: =?utf-8?b?xb5sdcWlb3XEjWvDvSBrxa/FiA==?=\r\n\r\n')
+
+    def test_generator_b_encoding_linesep(self):
+        # Since this broke in ByteGenerator, test Generator for completeness.
+        m = Message()
+        # This has enough non-ascii that it should always end up b encoded.
+        m['Subject'] = Header('žluťoučký kůň')
+        s = StringIO()
+        g = email.generator.Generator(s)
+        g.flatten(m, linesep='\r\n')
+        self.assertEqual(
+            s.getvalue(),
+            'Subject: =?utf-8?b?xb5sdcWlb3XEjWvDvSBrxa/FiA==?=\r\n\r\n')
+
     def test_crlf_control_via_policy(self):
         # msg_26 is crlf terminated
         with openfile('msg_26.txt', 'rb') as fp: