diff --git a/core/assets/scaffold/files/robots.txt b/core/assets/scaffold/files/robots.txt
index 18f8df8e693..ebcd04b96ca 100644
--- a/core/assets/scaffold/files/robots.txt
+++ b/core/assets/scaffold/files/robots.txt
@@ -49,6 +49,8 @@ Disallow: /user/register
 Disallow: /user/password
 Disallow: /user/login
 Disallow: /user/logout
+Disallow: /media/oembed
+Disallow: /*/media/oembed
 # Paths (no clean URLs)
 Disallow: /index.php/admin/
 Disallow: /index.php/comment/reply/
@@ -59,3 +61,5 @@ Disallow: /index.php/user/password
 Disallow: /index.php/user/register
 Disallow: /index.php/user/login
 Disallow: /index.php/user/logout
+Disallow: /index.php/media/oembed
+Disallow: /index.php/*/media/oembed
diff --git a/robots.txt b/robots.txt
index 18f8df8e693..ebcd04b96ca 100644
--- a/robots.txt
+++ b/robots.txt
@@ -49,6 +49,8 @@ Disallow: /user/register
 Disallow: /user/password
 Disallow: /user/login
 Disallow: /user/logout
+Disallow: /media/oembed
+Disallow: /*/media/oembed
 # Paths (no clean URLs)
 Disallow: /index.php/admin/
 Disallow: /index.php/comment/reply/
@@ -59,3 +61,5 @@ Disallow: /index.php/user/password
 Disallow: /index.php/user/register
 Disallow: /index.php/user/login
 Disallow: /index.php/user/logout
+Disallow: /index.php/media/oembed
+Disallow: /index.php/*/media/oembed