diff --git a/esphome/components/web_server/web_server.cpp b/esphome/components/web_server/web_server.cpp
index 21f7a90b07..0cdc60269a 100644
--- a/esphome/components/web_server/web_server.cpp
+++ b/esphome/components/web_server/web_server.cpp
@@ -558,7 +558,9 @@ static void set_json_id(JsonObject &root, EntityBase *obj, const char *prefix, J
       root[ESPHOME_F("device")] = device_name;
     }
 #endif
+#ifdef USE_ENTITY_ICON
     root[ESPHOME_F("icon")] = obj->get_icon_ref();
+#endif
     root[ESPHOME_F("entity_category")] = obj->get_entity_category();
     bool is_disabled = obj->is_disabled_by_default();
     if (is_disabled)
diff --git a/esphome/components/wifi/__init__.py b/esphome/components/wifi/__init__.py
index 6863e6fb62..e865de8663 100644
--- a/esphome/components/wifi/__init__.py
+++ b/esphome/components/wifi/__init__.py
@@ -288,11 +288,6 @@ def _validate(config):
         config = config.copy()
         config[CONF_NETWORKS] = []
 
-    if config.get(CONF_FAST_CONNECT, False):
-        networks = config.get(CONF_NETWORKS, [])
-        if not networks:
-            raise cv.Invalid("At least one network required for fast_connect!")
-
     if CONF_USE_ADDRESS not in config:
         use_address = CORE.name + config[CONF_DOMAIN]
         if CONF_MANUAL_IP in config: