diff --git a/src/core/classes/site.ts b/src/core/classes/site.ts
index ed6ee34c6..bc20704b5 100644
--- a/src/core/classes/site.ts
+++ b/src/core/classes/site.ts
@@ -2749,10 +2749,21 @@ export type CoreSiteConfigResponse = {
     warnings?: CoreWSExternalWarning[];
 };
 
+/**
+ * Possible values for 'supportavailability' config.
+ */
+export const enum CoreSiteConfigSupportAvailability {
+    Disabled = 0,
+    Authenticated = 1,
+    Anyone = 2,
+}
+
 /**
  * Site config indexed by name.
  */
-export type CoreSiteConfig = {[name: string]: string};
+export type CoreSiteConfig = Record<string, string> & {
+    supportavailability?: string; // String representation of CoreSiteConfigSupportAvailability.
+};
 
 /**
  * Result of WS tool_mobile_get_public_config.
@@ -2784,6 +2795,7 @@ export type CoreSitePublicConfigResponse = {
     agedigitalconsentverification?: boolean; // Whether age digital consent verification is enabled.
     supportname?: string; // Site support contact name (only if age verification is enabled).
     supportemail?: string; // Site support contact email (only if age verification is enabled).
+    supportavailability?: CoreSiteConfigSupportAvailability;
     supportpage?: string; // Site support contact url.
     autolang?: number; // Whether to detect default language from browser setting.
     lang?: string; // Default language for the site.
diff --git a/src/core/features/login/tests/behat/basic-usage-400.feature b/src/core/features/login/tests/behat/basic-usage-400.feature
new file mode 100644
index 000000000..5e6f19148
--- /dev/null
+++ b/src/core/features/login/tests/behat/basic-usage-400.feature
@@ -0,0 +1,19 @@
+@auth @core_auth @app @javascript @lms_from4.0 @lms_upto4.0
+Feature: Test basic usage of login in app
+  I need basic login functionality to work
+
+  Background:
+    Given the following "users" exist:
+      | username | firstname | lastname |
+      | student1 | david     | student  |
+
+  Scenario: Forgot password
+    When I enter the app
+    And I press "Forgotten your username or password?" in the app
+    And I set the field "Enter either username or email address" to "student1"
+    And I press "Search" in the app
+    Then I should find "Success" in the app
+
+    When I press "OK" in the app
+    And I press "Forgotten your username or password?" in the app
+    Then I should find "Contact support" in the app
diff --git a/src/core/features/login/tests/behat/basic_usage.feature b/src/core/features/login/tests/behat/basic_usage.feature
index 5dbea5ed4..0aef46f28 100755
--- a/src/core/features/login/tests/behat/basic_usage.feature
+++ b/src/core/features/login/tests/behat/basic_usage.feature
@@ -135,8 +135,10 @@ Feature: Test basic usage of login in app
     When I press "Reconnect" in the app
     Then I should find "Acceptance test site" in the app
 
-  @lms_from4.0
+  @lms_from4.1
   Scenario: Forgot password
+    Given the following config values are set as admin:
+      | supportavailability | 2 |
     When I enter the app
     And I press "Forgotten your username or password?" in the app
     And I set the field "Enter either username or email address" to "student1"
diff --git a/src/core/features/user/classes/support/authenticated-support-config.ts b/src/core/features/user/classes/support/authenticated-support-config.ts
index 509b30c9f..36b87a446 100644
--- a/src/core/features/user/classes/support/authenticated-support-config.ts
+++ b/src/core/features/user/classes/support/authenticated-support-config.ts
@@ -12,7 +12,7 @@
 // See the License for the specific language governing permissions and
 // limitations under the License.
 
-import { CoreSite } from '@classes/site';
+import { CoreSite, CoreSiteConfigSupportAvailability } from '@classes/site';
 import { CoreSites } from '@services/sites';
 import { CoreUserSupportConfig } from './support-config';
 
@@ -42,8 +42,28 @@ export class CoreUserAuthenticatedSupportConfig extends CoreUserSupportConfig {
      * @inheritdoc
      */
     canContactSupport(): boolean {
-        return this.site.isVersionGreaterEqualThan('4.0')
-            && !this.site.isFeatureDisabled('NoDelegate_CoreUserSupport');
+        if (this.site.isFeatureDisabled('NoDelegate_CoreUserSupport')) {
+            return false;
+        }
+
+        if (this.site.isVersionGreaterEqualThan('4.1')) {
+            if (!this.site.config || !('supportavailability' in this.site.config)) {
+                return false;
+            }
+
+            const supportAvailability = Number(this.site.config.supportavailability);
+
+            return supportAvailability === CoreSiteConfigSupportAvailability.Authenticated
+                || supportAvailability === CoreSiteConfigSupportAvailability.Anyone;
+        }
+
+        if (this.site.isVersionGreaterEqualThan('4.0')) {
+            // This feature was always available in 4.0.
+            return true;
+        }
+
+        // This feature wasn't available before 4.0.
+        return false;
     }
 
     /**
diff --git a/src/core/features/user/classes/support/guest-support-config.ts b/src/core/features/user/classes/support/guest-support-config.ts
index e48af2ee0..2c4462478 100644
--- a/src/core/features/user/classes/support/guest-support-config.ts
+++ b/src/core/features/user/classes/support/guest-support-config.ts
@@ -12,7 +12,7 @@
 // See the License for the specific language governing permissions and
 // limitations under the License.
 
-import { CoreSitePublicConfigResponse } from '@classes/site';
+import { CoreSiteConfigSupportAvailability, CoreSitePublicConfigResponse } from '@classes/site';
 import { CoreUserNullSupportConfig } from '@features/user/classes/support/null-support-config';
 import { CoreSites } from '@services/sites';
 import { CoreUtils } from '@services/utils/utils';
@@ -51,6 +51,12 @@ export class CoreUserGuestSupportConfig extends CoreUserSupportConfig {
      * @inheritdoc
      */
     canContactSupport(): boolean {
+        // This config was introduced in 4.1, if it's missing we can assume the site is 4.0 or lower.
+        if ('supportavailability' in this.config) {
+            return this.config.supportavailability === CoreSiteConfigSupportAvailability.Anyone;
+        }
+
+        // This config is only available to guests since 4.0, if it's missing we can assume guests can't contact support.
         return 'supportpage' in this.config;
     }
 
diff --git a/src/core/features/user/tests/behat/support.feature b/src/core/features/user/tests/behat/support.feature
index 5f6166135..0f4c9018d 100644
--- a/src/core/features/user/tests/behat/support.feature
+++ b/src/core/features/user/tests/behat/support.feature
@@ -5,6 +5,7 @@ Feature: Site support
     Given the following "users" exist:
       | username | firstname | lastname |
       | student1 | Student   | Student  |
+    And I am logged in as "student1"
 
   Scenario: Uses default support page
     Given I entered the app as "student1"