Sleep to wakeup without radio with ESP.deepSleep(5000000, WAKE_RF_DISABLED);, but on wakeup start the radio manually WiFi.forceSleepWake() after satisfying some conditions. This is done to save more battery as using the radio is expensive.
#include <ESP8266WiFi.h>
// Edit "secret" ssid and password below
const char* ssid = "secret";
const char* password = "secret";
int count = 0;
void setup() {
  disableWiFi();
  pinMode(2, OUTPUT);  // GPIO02 on ESP-12 module is linked to on-board LED
  Serial.begin(115200);
  delay(10);
  wakeupWiFiModem();
  connectToWiFi();
}
void loop() {
  if (WiFi.status() == WL_CONNECTED) {
    blink(5);
  }
  sleepAndWakeupWithRadioDisabled();
}
void disableWiFi() {
  WiFi.mode(WIFI_OFF);
  WiFi.forceSleepBegin();
  delay(1);
  return;
}
void wakeupWiFiModem() {
  WiFi.forceSleepWake();  // wakeup WiFi modem
  delay(1);
  WiFi.mode(WIFI_STA);
  WiFi.begin(ssid, password);
  return;
}
void connectToWiFi() {
  Serial.println();
  Serial.print("Connecting to ");
  Serial.println(ssid);
  while (WiFi.status() != WL_CONNECTED) {
    delay(500);
    count++;
    Serial.print(".");
    if (count > 20) {
      Serial.println("WiFi connection failed");
      break;
    }
  }
  if (WiFi.status() == WL_CONNECTED) {
    Serial.print("WiFi connected. IP address: ");
    Serial.println(WiFi.localIP());
  }
}
void blink(int count) {
  for (int i = 0; i < count; i++) {
    Serial.println("BLINK");
    digitalWrite(2, HIGH);
    delay(1000);
    digitalWrite(2, LOW);
    delay(1000);
  }
}
void sleepAndWakeupWithRadioDisabled() {
  Serial.println("Deep sleeping for 5 seconds...");
  Serial.println("Wakeup without WiFi next time");
  WiFi.disconnect(true);
  delay(1);
  ESP.deepSleep(5000000, WAKE_RF_DISABLED);  // radio disabled after wakeup
}.PHONY: lint compile upload clean
lint:
	cpplint --extensions=ino --filter=-legal/copyright,-readability/todo *.ino
compile:
	arduino-cli compile --fqbn esp8266com:esp8266:d1_mini ./
upload: compile
	arduino-cli upload -p /dev/cu.wchusbserial1410 --fqbn esp8266com:esp8266:d1_mini ./
clean:
	rm -f .*.bin
	rm -f .*.elf
flash: lint compile upload clean