diff --git a/src/fuzz/fuzz-env-file.c b/src/fuzz/fuzz-env-file.c
index 51df1aab557..3c8ffaa7b23 100644
--- a/src/fuzz/fuzz-env-file.c
+++ b/src/fuzz/fuzz-env-file.c
@@ -12,7 +12,7 @@ int LLVMFuzzerTestOneInput(const uint8_t *data, size_t size) {
         _cleanup_fclose_ FILE *f = NULL;
         _cleanup_strv_free_ char **rl = NULL, **rlp =  NULL;
 
-        if (size == 0)
+        if (size == 0 || size > 65535)
                 return 0;
 
         f = fmemopen((char*) data, size, "re");
diff --git a/src/fuzz/fuzz-env-file.options b/src/fuzz/fuzz-env-file.options
new file mode 100644
index 00000000000..0824b19fab4
--- /dev/null
+++ b/src/fuzz/fuzz-env-file.options
@@ -0,0 +1,2 @@
+[libfuzzer]
+max_len = 65535
diff --git a/src/network/fuzz-network-parser.c b/src/network/fuzz-network-parser.c
index e4b789c1677..b05626751e4 100644
--- a/src/network/fuzz-network-parser.c
+++ b/src/network/fuzz-network-parser.c
@@ -11,6 +11,9 @@ int LLVMFuzzerTestOneInput(const uint8_t *data, size_t size) {
         _cleanup_fclose_ FILE *f = NULL;
         _cleanup_(unlink_tempfilep) char network_config[] = "/tmp/fuzz-networkd.XXXXXX";
 
+        if (size > 65535)
+                return 0;
+
         if (!getenv("SYSTEMD_LOG_LEVEL"))
                 log_set_max_level(LOG_CRIT);
 
diff --git a/src/network/fuzz-network-parser.options b/src/network/fuzz-network-parser.options
new file mode 100644
index 00000000000..0824b19fab4
--- /dev/null
+++ b/src/network/fuzz-network-parser.options
@@ -0,0 +1,2 @@
+[libfuzzer]
+max_len = 65535
diff --git a/src/udev/net/fuzz-link-parser.c b/src/udev/net/fuzz-link-parser.c
index 397fa2c16ea..e0dacc732a1 100644
--- a/src/udev/net/fuzz-link-parser.c
+++ b/src/udev/net/fuzz-link-parser.c
@@ -11,6 +11,9 @@ int LLVMFuzzerTestOneInput(const uint8_t *data, size_t size) {
         _cleanup_(unlink_tempfilep) char filename[] = "/tmp/fuzz-link-config.XXXXXX";
         _cleanup_fclose_ FILE *f = NULL;
 
+        if (size > 65535)
+                return 0;
+
         if (!getenv("SYSTEMD_LOG_LEVEL"))
                 log_set_max_level(LOG_CRIT);
 
diff --git a/src/udev/net/fuzz-link-parser.options b/src/udev/net/fuzz-link-parser.options
new file mode 100644
index 00000000000..0824b19fab4
--- /dev/null
+++ b/src/udev/net/fuzz-link-parser.options
@@ -0,0 +1,2 @@
+[libfuzzer]
+max_len = 65535