diff --git a/src/fuzz/fuzz-journald-stream.c b/src/fuzz/fuzz-journald-stream.c
index 5d6c8eb8ca..bc53964139 100644
--- a/src/fuzz/fuzz-journald-stream.c
+++ b/src/fuzz/fuzz-journald-stream.c
@@ -15,7 +15,7 @@ int LLVMFuzzerTestOneInput(const uint8_t *data, size_t size) {
         StdoutStream *stream;
         int v;
 
-        if (size == 0)
+        if (size == 0 || size > 65536)
                 return 0;
 
         if (!getenv("SYSTEMD_LOG_LEVEL"))
diff --git a/src/fuzz/fuzz-journald-stream.options b/src/fuzz/fuzz-journald-stream.options
new file mode 100644
index 0000000000..678d526b1e
--- /dev/null
+++ b/src/fuzz/fuzz-journald-stream.options
@@ -0,0 +1,2 @@
+[libfuzzer]
+max_len = 65536