diff --git a/youtube_dl/extractor/teachable.py b/youtube_dl/extractor/teachable.py
index c1a9deafee4d..7d2e34b3bc42 100644
--- a/youtube_dl/extractor/teachable.py
+++ b/youtube_dl/extractor/teachable.py
@@ -48,6 +48,16 @@ def _login(self, site):
             'https://%s/sign_in' % site, None,
             'Downloading %s login page' % site)
 
+        def is_logged(webpage):
+            return any(re.search(p, webpage) for p in (
+                r'class=["\']user-signout',
+                r'<a[^>]+\bhref=["\']/sign_out',
+                r'Log\s+[Oo]ut\s*<'))
+
+        if is_logged(login_page):
+            self._logged_in = True
+            return
+
         login_url = compat_str(urlh.geturl())
 
         login_form = self._hidden_inputs(login_page)
@@ -78,10 +88,7 @@ def _login(self, site):
                 'Go to https://%s/ and accept.' % (site, site), expected=True)
 
         # Successful login
-        if any(re.search(p, response) for p in (
-                r'class=["\']user-signout',
-                r'<a[^>]+\bhref=["\']/sign_out',
-                r'>\s*Log out\s*<')):
+        if is_logged(response):
             self._logged_in = True
             return