diff --git a/docker/test/fuzzer/run-fuzzer.sh b/docker/test/fuzzer/run-fuzzer.sh
index bd539ca978b..2dd25591dbf 100755
--- a/docker/test/fuzzer/run-fuzzer.sh
+++ b/docker/test/fuzzer/run-fuzzer.sh
@@ -256,12 +256,21 @@ quit
     if [ "$server_died" == 1 ]
     then
         # The server has died.
-        task_exit_code=210
-        echo "failure" > status.txt
         if ! zgrep --text -ao "Received signal.*\|Logical error.*\|Assertion.*failed\|Failed assertion.*\|.*runtime error: .*\|.*is located.*\|SUMMARY: AddressSanitizer:.*\|SUMMARY: MemorySanitizer:.*\|SUMMARY: ThreadSanitizer:.*\|.*_LIBCPP_ASSERT.*" server.log.gz > description.txt
         then
             echo "Lost connection to server. See the logs." > description.txt
         fi
+
+        if grep -F --text 'Sanitizer: out-of-memory' description.txt
+        then
+            # OOM of sanitizer is not a problem we can handle - treat it as success, but preserve the description.
+            task_exit_code=0
+            echo "success" > status.txt
+        else
+            task_exit_code=210
+            echo "failure" > status.txt
+        fi
+
     elif [ "$fuzzer_exit_code" == "143" ] || [ "$fuzzer_exit_code" == "0" ]
     then
         # Variants of a normal run: