diff --git a/src/network/networkd-network-gperf.gperf b/src/network/networkd-network-gperf.gperf
index adbba5f480..8bbdd290ad 100644
--- a/src/network/networkd-network-gperf.gperf
+++ b/src/network/networkd-network-gperf.gperf
@@ -72,7 +72,7 @@ Network.IPv6AcceptRouterAdvertisements, config_parse_tristate,
 Network.IPv6DuplicateAddressDetection,  config_parse_int,                               0,                             offsetof(Network, ipv6_dad_transmits)
 Network.IPv6HopLimit,                   config_parse_int,                               0,                             offsetof(Network, ipv6_hop_limit)
 Network.IPv6ProxyNDP,                   config_parse_tristate,                          0,                             offsetof(Network, ipv6_proxy_ndp)
-Network.IPv6MTUBytes,                   config_parse_mtu,                               AF_INET6,                      0
+Network.IPv6MTUBytes,                   config_parse_mtu,                               AF_INET6,                      offsetof(Network, ipv6_mtu)
 Network.ActiveSlave,                    config_parse_bool,                              0,                             offsetof(Network, active_slave)
 Network.PrimarySlave,                   config_parse_bool,                              0,                             offsetof(Network, primary_slave)
 Network.IPv4ProxyARP,                   config_parse_tristate,                          0,                             offsetof(Network, proxy_arp)
diff --git a/src/network/networkd-network.c b/src/network/networkd-network.c
index 4eb553125b..bf910956cb 100644
--- a/src/network/networkd-network.c
+++ b/src/network/networkd-network.c
@@ -413,7 +413,7 @@ void network_free(Network *network) {
                 if (network->manager->networks)
                         LIST_REMOVE(networks, network->manager->networks, network);
 
-                if (network->manager->networks_by_name)
+                if (network->manager->networks_by_name && network->name)
                         hashmap_remove(network->manager->networks_by_name, network->name);
 
                 if (network->manager->duids_requesting_uuid)
diff --git a/test/fuzz/fuzz-network-parser/oss-fuzz-11302 b/test/fuzz/fuzz-network-parser/oss-fuzz-11302
new file mode 100644
index 0000000000..0ef0dccbd0
--- /dev/null
+++ b/test/fuzz/fuzz-network-parser/oss-fuzz-11302
@@ -0,0 +1,2 @@
+[Network]
+IPv6MTUBytes=7K
\ No newline at end of file
diff --git a/test/fuzz/fuzz-network-parser/oss-fuzz-11314 b/test/fuzz/fuzz-network-parser/oss-fuzz-11314
new file mode 100644
index 0000000000..2fb68e9862
--- /dev/null
+++ b/test/fuzz/fuzz-network-parser/oss-fuzz-11314
@@ -0,0 +1,5 @@
+
+[Network]
+IPv6MTUBytes=6M
+
+Bond=