diff a/test/hotspot/jtreg/runtime/cds/appcds/DumpingWithNoCoops.java b/test/hotspot/jtreg/runtime/cds/appcds/DumpingWithNoCoops.java
--- a/test/hotspot/jtreg/runtime/cds/appcds/DumpingWithNoCoops.java
+++ b/test/hotspot/jtreg/runtime/cds/appcds/DumpingWithNoCoops.java
@@ -96,25 +96,42 @@
             if (ha.maxSize < 32) {
                 dumptimeArgs.add(noCoops);
             }
             dumptimeArgs.add(logArg);
             OutputAnalyzer output;
+            boolean shouldProceed = true;
             if (heapArg.length() == 0) {
                 System.out.println("\n    Test without heap args\n");
                 output = TestCommon.dump(appJar, appClasses, dumptimeArgs.toArray(new String[0]));
             } else {
                 System.out.println("\n    Test with heap args: " + heapArg + "\n");
                 String[] heapSizes = heapArg.split(" ");
                 for (String heapSize : heapSizes) {
                     dumptimeArgs.add(heapSize);
                 }
                 output = TestCommon.dump(appJar, appClasses, dumptimeArgs.toArray(new String[0]));
-                output.shouldContain("Setting MaxHeapSize to 4G for CDS dumping");
+                try {
+                    output.shouldContain("Setting MaxHeapSize to 4G for CDS dumping");
+                } catch (java.lang.RuntimeException ex) {
+                    String stdout = output.getStdout();
+                    if (stdout.contains("Initial heap size set to a larger value than the maximum heap size") ||
+                        stdout.contains("Incompatible minimum and maximum heap sizes specified")) {
+                        System.out.println("Available MaxHeapSize is insufficient to run this test case.");
+                        shouldProceed = false;
+                    } else {
+                        if (!stdout.contains("Setting MinHeapSize to 4G for CDS dumping") &&
+                            !stdout.contains("Setting InitialHeapSize to 4G for CDS dumping")) {
+                            throw(ex);
+                        }
+                    }
+                }
             }
-            TestCommon.checkDump(output);
+            if (shouldProceed) {
+                TestCommon.checkDump(output);
 
-            TestCommon.run("-cp", appJar,
-                        logArg, "-Xlog:class+load", noCoops, "Hello")
-                .assertNormalExit("Hello source: shared objects file");
+                TestCommon.run("-cp", appJar,
+                            logArg, "-Xlog:class+load", noCoops, "Hello")
+                    .assertNormalExit("Hello source: shared objects file");
+            }
         }
     }
 }