Speed Up WiFi Client Prints on ESP32

Hello,
I am using an esp32-s3 to read analog sensors and send the data to PC over WiFi. I can achieve a frequency > 1kHz with 4 analog reads, but with 6 the frequency drops below 1k.
Any idea how to speed it up and allow 6-8 analog reads?
Thank you

ESP32 code:

#include <WiFi.h>

// Replace with your network credentials
const char* ssid = "AndroidAP";
const char* password = "kesy1320";

WiFiServer server(80);

unsigned long start = 0;

void setup() {
  Serial.begin(115200);
  WiFi.begin(ssid, password);

  while (WiFi.status() != WL_CONNECTED) {
    delay(1000);
    Serial.println("Connecting to WiFi...");
  }

  Serial.println("Connected to WiFi");
  
  // Print the IP address
  Serial.print("ESP32 IP Address: ");
  Serial.println(WiFi.localIP());
  
  server.begin();
}

void loop() {
  WiFiClient client = server.available();  // Listen for incoming clients

  if (client) {
    while (client.connected()) {
      // Send data at 1 kHz (1000 times per second)
      start = micros();
      
      client.println((String) start + " " + analogRead(14) + " " + analogRead(13) + " " + analogRead(12) + " " + analogRead(11) + " " + analogRead(10) + " " + analogRead(9));
      
      /*while (micros() - start < 625) {
        // wait for the next 1 ms
      }*/
    }
    
    client.stop();
    Serial.println("Client disconnected");
  }
}

Python code on PC:

import socket
import time

# Replace with your ESP32's IP address
ESP32_IP = '192.168.225.242'
ESP32_PORT = 80

def main():
    # Create a socket object
    client_socket = socket.socket(socket.AF_INET, socket.SOCK_STREAM)
    
    # Connect to the ESP32 server
    client_socket.connect((ESP32_IP, ESP32_PORT))
    print("Connected to ESP32")

    try:
        with open("received_data.log", "w") as log_file:
            while True:
                data = client_socket.recv(1024).decode()  # Receive data from ESP32
                if data:
                    log_file.write(f"{data.strip()}\n")
                    log_file.flush()  # Ensure data is written to the file immediately
    except KeyboardInterrupt:
        print("Interrupted")
    except Exception as e:
        print(f"Error: {e}")
    finally:
        client_socket.close()
        print("Connection closed")

if __name__ == "__main__":
    main()