diff --git a/hotspot/test/runtime/memory/ReadFromNoaccessArea.java b/hotspot/test/runtime/memory/ReadFromNoaccessArea.java
index 1078dd2e4ea..484240287ce 100644
--- a/hotspot/test/runtime/memory/ReadFromNoaccessArea.java
+++ b/hotspot/test/runtime/memory/ReadFromNoaccessArea.java
@@ -47,6 +47,7 @@ public class ReadFromNoaccessArea {
           "-XX:+WhiteBoxAPI",
           "-XX:+UseCompressedOops",
           "-XX:HeapBaseMinAddress=33G",
+          "-Xmx32m",
           DummyClassWithMainTryingToReadFromNoaccessArea.class.getName());
 
     OutputAnalyzer output = new OutputAnalyzer(pb.start());
diff --git a/hotspot/test/runtime/memory/ReserveMemory.java b/hotspot/test/runtime/memory/ReserveMemory.java
index 9e37d52ccda..3a65ca605c2 100644
--- a/hotspot/test/runtime/memory/ReserveMemory.java
+++ b/hotspot/test/runtime/memory/ReserveMemory.java
@@ -57,6 +57,7 @@ public class ReserveMemory {
           "-XX:+UnlockDiagnosticVMOptions",
           "-XX:+WhiteBoxAPI",
           "-XX:-TransmitErrorReport",
+          "-Xmx32m",
           "ReserveMemory",
           "test");