diff --git a/src/Illuminate/Console/Scheduling/Event.php b/src/Illuminate/Console/Scheduling/Event.php
index 5268f4f62b98..47f7be90951a 100644
--- a/src/Illuminate/Console/Scheduling/Event.php
+++ b/src/Illuminate/Console/Scheduling/Event.php
@@ -344,6 +344,17 @@ public function hourly()
         return $this->spliceIntoPosition(1, 0);
     }
 
+    /**
+     * Schedule the event to run hourly at a given offset in the hour.
+     *
+     * @param  int  $offset
+     * @return $this
+     */
+    public function hourlyAt($offset)
+    {
+        return $this->spliceIntoPosition(1, $offset);
+    }
+
     /**
      * Schedule the event to run daily.
      *
diff --git a/tests/Console/ConsoleScheduledEventTest.php b/tests/Console/ConsoleScheduledEventTest.php
index 434d47a73b7b..86a0a298c7e7 100644
--- a/tests/Console/ConsoleScheduledEventTest.php
+++ b/tests/Console/ConsoleScheduledEventTest.php
@@ -67,6 +67,9 @@ public function testBasicCronCompilation()
         $event = new Event('php foo');
         $this->assertEquals('0 * * * * *', $event->everyFiveMinutes()->hourly()->getExpression());
 
+        $event = new Event('php foo');
+        $this->assertEquals('37 * * * * *', $event->hourlyAt(37)->getExpression());
+
         $event = new Event('php foo');
         $this->assertEquals('0 15 4 * * *', $event->monthlyOn(4, '15:00')->getExpression());