diff --git a/src/Illuminate/Cache/RedisStore.php b/src/Illuminate/Cache/RedisStore.php
index 7782f3db120e..f3aa8a3dce34 100755
--- a/src/Illuminate/Cache/RedisStore.php
+++ b/src/Illuminate/Cache/RedisStore.php
@@ -292,7 +292,7 @@ public function setPrefix($prefix)
      */
     protected function serialize($value)
     {
-        return is_numeric($value) ? $value : serialize($value);
+        return is_numeric($value) && ! in_array($value, [INF, -INF]) && ! is_nan($value) ? $value : serialize($value);
     }
 
     /**
diff --git a/tests/Integration/Cache/RedisStoreTest.php b/tests/Integration/Cache/RedisStoreTest.php
new file mode 100644
index 000000000000..fd2995b7e737
--- /dev/null
+++ b/tests/Integration/Cache/RedisStoreTest.php
@@ -0,0 +1,51 @@
+<?php
+
+namespace Illuminate\Tests\Integration\Cache;
+
+use Illuminate\Foundation\Testing\Concerns\InteractsWithRedis;
+use Illuminate\Support\Facades\Cache;
+use Illuminate\Tests\Integration\IntegrationTest;
+
+/**
+ * @group integration
+ */
+class RedisStoreTest extends IntegrationTest
+{
+    use InteractsWithRedis;
+
+    protected function setUp(): void
+    {
+        parent::setUp();
+
+        $this->setUpRedis();
+    }
+
+    protected function tearDown(): void
+    {
+        parent::tearDown();
+
+        $this->tearDownRedis();
+    }
+
+    public function testItCanStoreInfinite()
+    {
+        Cache::store('redis')->clear();
+
+        $result = Cache::store('redis')->put('foo', INF);
+        $this->assertTrue($result);
+        $this->assertSame(INF, Cache::store('redis')->get('foo'));
+
+        $result = Cache::store('redis')->put('bar', -INF);
+        $this->assertTrue($result);
+        $this->assertSame(-INF, Cache::store('redis')->get('bar'));
+    }
+
+    public function testItCanStoreNan()
+    {
+        Cache::store('redis')->clear();
+
+        $result = Cache::store('redis')->put('foo', NAN);
+        $this->assertTrue($result);
+        $this->assertNan(Cache::store('redis')->get('foo'));
+    }
+}