diff --git a/analytics/classes/insights_generator.php b/analytics/classes/insights_generator.php
index 6dad5ebcba9..cb24ccdc251 100644
--- a/analytics/classes/insights_generator.php
+++ b/analytics/classes/insights_generator.php
@@ -193,19 +193,23 @@ class insights_generator {
         $insighturl = null;
         foreach ($predictionactions as $action) {
             $actionurl = $action->get_url();
+            $opentoblank = false;
             if (!$actionurl->get_param('forwardurl')) {
 
                 $params = ['actionvisiblename' => $action->get_text(), 'target' => '_blank'];
                 $actiondoneurl = new \moodle_url('/report/insights/done.php', $params);
                 // Set the forward url to the 'done' script.
                 $actionurl->param('forwardurl', $actiondoneurl->out(false));
+
+                $opentoblank = true;
             }
 
             if (empty($insighturl)) {
                 // We use the primary action url as insight url so we log that the user followed the provided link.
                 $insighturl = $action->get_url();
             }
-            $actiondata = (object)['url' => $action->get_url()->out(false), 'text' => $action->get_text()];
+            $actiondata = (object)['url' => $action->get_url()->out(false), 'text' => $action->get_text(),
+                'opentoblank' => $opentoblank];
             $fullmessageplaintext .= get_string('insightinfomessageaction', 'analytics', $actiondata) . PHP_EOL;
             $messageactions[] = $actiondata;
         }
diff --git a/analytics/classes/local/target/base.php b/analytics/classes/local/target/base.php
index daf27246b45..0db27aa6d40 100644
--- a/analytics/classes/local/target/base.php
+++ b/analytics/classes/local/target/base.php
@@ -105,6 +105,15 @@ abstract class base extends \core_analytics\calculable {
         return true;
     }
 
+    /**
+     * Should the insights of this model be linked from reports?
+     *
+     * @return bool
+     */
+    public function link_insights_report(): bool {
+        return true;
+    }
+
     /**
      * Based on facts (processed by machine learning backends) by default.
      *
@@ -147,7 +156,7 @@ abstract class base extends \core_analytics\calculable {
 
         $actions = array();
 
-        if ($includedetailsaction) {
+        if ($this->link_insights_report() && $includedetailsaction) {
 
             $predictionurl = new \moodle_url('/report/insights/prediction.php', array('id' => $predictionid));
             $detailstext = $this->get_view_details_text();
diff --git a/analytics/classes/manager.php b/analytics/classes/manager.php
index 03b02e9399a..a5553d56197 100644
--- a/analytics/classes/manager.php
+++ b/analytics/classes/manager.php
@@ -484,6 +484,9 @@ class manager {
     /**
      * Returns the models with insights at the provided context.
      *
+     * Note that this method is used for display purposes. It filters out models whose insights
+     * are not linked from the reports page.
+     *
      * @param \context $context
      * @return \core_analytics\model[]
      */
@@ -494,7 +497,7 @@ class manager {
         $models = self::get_all_models(true, true, $context);
         foreach ($models as $key => $model) {
             // Check that it not only have predictions but also generates insights from them.
-            if (!$model->uses_insights()) {
+            if (!$model->uses_insights() || !$model->get_target()->link_insights_report()) {
                 unset($models[$key]);
             }
         }
diff --git a/analytics/classes/model.php b/analytics/classes/model.php
index e5ca153c6d4..83ccb923e4d 100644
--- a/analytics/classes/model.php
+++ b/analytics/classes/model.php
@@ -963,19 +963,22 @@ class model {
 
         $this->get_target()->generate_insight_notifications($this->model->id, $samplecontexts, $predictions);
 
-        // Update cache.
-        $cache = \cache::make('core', 'contextwithinsights');
-        foreach ($samplecontexts as $context) {
-            $modelids = $cache->get($context->id);
-            if (!$modelids) {
-                // The cache is empty, but we don't know if it is empty because there are no insights
-                // in this context or because cache/s have been purged, we need to be conservative and
-                // "pay" 1 db read to fill up the cache.
-                $models = \core_analytics\manager::get_models_with_insights($context);
-                $cache->set($context->id, array_keys($models));
-            } else if (!in_array($this->get_id(), $modelids)) {
-                array_push($modelids, $this->get_id());
-                $cache->set($context->id, $modelids);
+        if ($this->get_target()->link_insights_report()) {
+
+            // Update cache.
+            $cache = \cache::make('core', 'contextwithinsights');
+            foreach ($samplecontexts as $context) {
+                $modelids = $cache->get($context->id);
+                if (!$modelids) {
+                    // The cache is empty, but we don't know if it is empty because there are no insights
+                    // in this context or because cache/s have been purged, we need to be conservative and
+                    // "pay" 1 db read to fill up the cache.
+                    $models = \core_analytics\manager::get_models_with_insights($context);
+                    $cache->set($context->id, array_keys($models));
+                } else if (!in_array($this->get_id(), $modelids)) {
+                    array_push($modelids, $this->get_id());
+                    $cache->set($context->id, $modelids);
+                }
             }
         }
     }
diff --git a/analytics/templates/insight_info_message_prediction.mustache b/analytics/templates/insight_info_message_prediction.mustache
index 9896031bf6d..7bd76de7c0d 100644
--- a/analytics/templates/insight_info_message_prediction.mustache
+++ b/analytics/templates/insight_info_message_prediction.mustache
@@ -33,7 +33,8 @@
                 "text": "Moodle"
             }, {
                 "url": "https://en.wikipedia.org/wiki/Noodle",
-                "text": "Noodle"
+                "text": "Noodle",
+                "opentoblank": 1
             }
         ]
     }
@@ -65,5 +66,5 @@ body:not(.dir-ltr):not(.dir-rtl) .btn-insight {
 
 <br/>
 {{#actions}}
-    <a class="btn btn-default m-r-1 m-b-1 btn-insight" href="{{url}}">{{text}}</a>
+    <a class="btn btn-default m-r-1 m-b-1 btn-insight" {{#opentoblank}}target="_blank" {{/opentoblank}}href="{{url}}">{{text}}</a>
 {{/actions}}
diff --git a/lang/en/calendar.php b/lang/en/calendar.php
index 9a7982ef762..2e31f24bb36 100644
--- a/lang/en/calendar.php
+++ b/lang/en/calendar.php
@@ -261,6 +261,7 @@ $string['urlforical'] = 'URL for iCalendar export, for subscribing to calendar';
 $string['user'] = 'User';
 $string['userevent'] = 'User event';
 $string['userevents'] = 'User events';
+$string['viewupcomingactivitiesdue'] = 'View the upcoming activities due';
 $string['wed'] = 'Wed';
 $string['wednesday'] = 'Wednesday';
 $string['weekly'] = 'Weekly';
diff --git a/report/insights/insights.php b/report/insights/insights.php
index 2aaab8b05f3..5dc9dfc0361 100644
--- a/report/insights/insights.php
+++ b/report/insights/insights.php
@@ -40,10 +40,24 @@ if ($context->contextlevel < CONTEXT_COURSE) {
     // Only for higher levels than course.
     $PAGE->set_context($context);
 }
+
 \core_analytics\manager::check_can_list_insights($context);
 
 // Get all models that are enabled, trained and have predictions at this context.
 $othermodels = \core_analytics\manager::get_all_models(true, true, $context);
+array_filter($othermodels, function($model) use ($context) {
+
+    // Discard insights that are not linked unless you are a manager.
+    if (!$model->get_target()->link_insights_report()) {
+        try {
+            \core_analytics\manager::check_can_manage_models();
+        } catch (\required_capability_exception $e) {
+            return false;
+        }
+    }
+    return true;
+});
+
 if (!$modelid && count($othermodels)) {
     // Autoselect the only available model.
     $model = reset($othermodels);
@@ -89,6 +103,12 @@ if (!$modelid) {
 
 $model = new \core_analytics\model($modelid);
 
+if (!$model->get_target()->link_insights_report()) {
+
+    // Only manager access if this target does not link the insights report.
+    \core_analytics\manager::check_can_manage_models();
+}
+
 $insightinfo = new stdClass();
 $insightinfo->contextname = $context->get_context_name();
 $insightinfo->insightname = $model->get_target()->get_name();
diff --git a/user/classes/analytics/target/upcoming_activities_due.php b/user/classes/analytics/target/upcoming_activities_due.php
index b97ecbe1d44..bd3fe9edc02 100644
--- a/user/classes/analytics/target/upcoming_activities_due.php
+++ b/user/classes/analytics/target/upcoming_activities_due.php
@@ -160,6 +160,15 @@ class upcoming_activities_due extends \core_analytics\local\target\binary {
         return 0;
     }
 
+    /**
+     * No need to link to the insights report in this case.
+     *
+     * @return bool
+     */
+    public function link_insights_report(): bool {
+        return false;
+    }
+
     /**
      * Adds a view upcoming events action.
      *
@@ -180,9 +189,9 @@ class upcoming_activities_due extends \core_analytics\local\target\binary {
 
         // We force a lookahead of 30 days so we are sure that the upcoming activities due are shown.
         $url = new \moodle_url('/calendar/view.php', ['view' => 'upcoming', 'lookahead' => '30']);
-        $pix = new \pix_icon('i/calendar', get_string('upcomingevents', 'calendar'));
+        $pix = new \pix_icon('i/calendar', get_string('viewupcomingactivitiesdue', 'calendar'));
         $action = new \core_analytics\prediction_action('viewupcoming', $prediction,
-            $url, $pix, get_string('upcomingevents', 'calendar'));
+            $url, $pix, get_string('viewupcomingactivitiesdue', 'calendar'));
 
         return array_merge([$action], $parentactions);
     }