diff --git a/src/node_crypto.cc b/src/node_crypto.cc
index 6df6dbb85e..8e66be9849 100644
--- a/src/node_crypto.cc
+++ b/src/node_crypto.cc
@@ -5368,7 +5368,7 @@ class RandomBytesRequest : public AsyncWrap {
         error_(0),
         size_(size),
         data_(static_cast<char*>(node::Malloc(size))) {
-    if (data() == nullptr)
+    if (data() == nullptr && size > 0)
       FatalError("node::RandomBytesRequest()", "Out of Memory");
     Wrap(object, this);
   }
diff --git a/test/parallel/parallel.status b/test/parallel/parallel.status
index 604a5b2424..f2536b6b68 100644
--- a/test/parallel/parallel.status
+++ b/test/parallel/parallel.status
@@ -27,11 +27,6 @@ test-debug-signal-cluster         : PASS,FLAKY
 test-fs-watch-enoent                 : FAIL, PASS
 test-fs-watch-encoding               : FAIL, PASS
 
-# being worked under https://github.com/nodejs/node/pull/7564
-test-async-wrap-post-did-throw           : PASS, FLAKY
-test-async-wrap-throw-from-callback      : PASS, FLAKY
-test-crypto-random                       : PASS, FLAKY
-
 #being worked under https://github.com/nodejs/node/issues/7973
 test-stdio-closed                        : PASS, FLAKY