diff --git a/docs/Contributing/API-for-contributors.md b/docs/Contributing/API-for-contributors.md
index 5355dd4b4f..cb8a4e8bf7 100644
--- a/docs/Contributing/API-for-contributors.md
+++ b/docs/Contributing/API-for-contributors.md
@@ -3933,16 +3933,15 @@ Run a live script and get results back (5 minute timeout). Live scripts only run
 
 #### Parameters
 
-| Name            | Type    | In   | Description                                      |
-| ----            | ------- | ---- | --------------------------------------------     |
-| host_id         | integer | body | **Required**. The host ID to run the script on.  |
-| script_id       | integer | body | The ID of the existing saved script to run. Only one of either `script_id`, `script_name` or `script_contents` can be included in the request; omit this parameter if using `script_contents` or `script_name`.  |
-| script_contents | string  | body | The contents of the script to run. Only one of either `script_contents`, `script_id` or `script_name` can be included in the request; omit this parameter if using `script_id` or `script_name`. |
-| script_name       | string | body | The name of the existing saved script to run. Only one of either `script_name`, `script_id` or `script_contents` can be included in the request; omit this parameter if using `script_contents` or `script_id`.  |
-| team_id       | integer | body | ID of the team the saved script referenced by `script_name` belongs to. Default: `0` (hosts assigned to "No team") |
+| Name            | Type    | In   | Description                                                                                    |
+| ----            | ------- | ---- | --------------------------------------------                                                   |
+| host_id         | integer | body | **Required**. The ID of the host to run the script on.                                                |
+| script_id       | integer | body | The ID of the existing saved script to run. Only one of either `script_id`, `script_contents`, or `script_name` can be included. |
+| script_contents | string  | body | The contents of the script to run. Only one of either `script_id`, `script_contents`, or `script_name` can be included. |
+| script_name       | integer | body | The name of the existing saved script to run. If specified, requires `team_id`. Only one of either `script_id`, `script_contents`, or `script_name` can be included.   |
+| team_id       | integer | body | The ID of the existing saved script to run. If specified, requires `script_name`. Only one of either `script_id`, `script_contents`, or `script_name` can be included in the request.  |
 
-
-> Note that if both `script_id` and `script_contents` are included in the request, this endpoint will respond with an error.
+> Note that if any combination of `script_id`, `script_contents`, and `script_name` are included in the request, this endpoint will respond with an error.
 
 #### Example
 
diff --git a/docs/REST API/rest-api.md b/docs/REST API/rest-api.md
index d5acd77352..3a668df2cb 100644
--- a/docs/REST API/rest-api.md	
+++ b/docs/REST API/rest-api.md	
@@ -8698,10 +8698,12 @@ By default, script runs time out after 5 minutes. You can modify this default in
 | Name            | Type    | In   | Description                                                                                    |
 | ----            | ------- | ---- | --------------------------------------------                                                   |
 | host_id         | integer | body | **Required**. The ID of the host to run the script on.                                                |
-| script_id       | integer | body | The ID of the existing saved script to run. Only one of either `script_id` or `script_contents` can be included in the request; omit this parameter if using `script_contents`.  |
-| script_contents | string  | body | The contents of the script to run. Only one of either `script_id` or `script_contents` can be included in the request; omit this parameter if using `script_id`. |
+| script_id       | integer | body | The ID of the existing saved script to run. Only one of either `script_id`, `script_contents`, or `script_name` can be included. |
+| script_contents | string  | body | The contents of the script to run. Only one of either `script_id`, `script_contents`, or `script_name` can be included. |
+| script_name       | integer | body | The name of the existing saved script to run. If specified, requires `team_id`. Only one of either `script_id`, `script_contents`, or `script_name` can be included in the request.   |
+| team_id       | integer | body | The ID of the existing saved script to run. If specified, requires `script_name`. Only one of either `script_id`, `script_contents`, or `script_name` can be included in the request.  |
 
-> Note that if both `script_id` and `script_contents` are included in the request, this endpoint will respond with an error.
+> Note that if any combination of `script_id`, `script_contents`, and `script_name` are included in the request, this endpoint will respond with an error.
 
 #### Example