Arduino ESP8266 GPS integration issue

I am facing issue in using 2 Serial communication device with Arduino uno. I am trying to use ESP8266, Neo 6M GPS module with Arduino UNO, but only one of device is working at a time. Is there any solution available to make this work? When I comment processGPS() and uncomment TCP related API and vice-versa then either of the device working. Any idea how we can make work both?

My code:

// This is a demo example using a public http server for testing both GET and POST requests

#include <Arduino.h>
#include <LiteESP8266Client.h>
#include "TinyGPS++.h"
#include "SoftwareSerial.h"

#define PACKET_MTU 500    // Standard network MTU is 500 bytes

LiteESP8266 radio;

const char ssid[] PROGMEM = "xyz";    //change it to your wifi SSID
const char password[] PROGMEM = "xyz";    //change it to your wifi password
const char host[] PROGMEM = "192.168.0.156";
const int port = 8080;

const char http_get_request[] PROGMEM = "GET /getLedStatus HTTP/1.1\r\n";
const char http_useragent[] PROGMEM = "User-Agent: Arduino-stm32/0.1\r\n";
const char http_content_type_json[] PROGMEM = "Content-Type: application/json\r\n";
const char http_host[] PROGMEM = "Host: 192.168.0.156\r\n";
const char http_close_connection[] PROGMEM = "Connection: close\r\n\r\n";
const char http_content_length_header[] PROGMEM = "Content-Length: ";
const char success[] PROGMEM = "success";
const char failed[] PROGMEM = "failed";
const char CRLF[] PROGMEM = "\r\n";
const char error_data_null[] PROGMEM = "Error: data came back null.";
const int ledPin=11;
// Choose two Arduino pins to use for software serial
int RXPin = 5;
int TXPin = 4;

int GPSBaud = 9600;

// Create a TinyGPS++ object
TinyGPSPlus gps;

// Create a software serial port called "gpsSerial"
SoftwareSerial gpsSerial(RXPin, TXPin);

void setupStationMode() {
  Serial.print(F("Setup station mode... "));
  if (radio.set_station_mode()) {
    Serial.println(F("success"));
  } else {
    Serial.println(F("failed"));
  }
}

void joinAP() {
  Serial.print(F("Join AP "));
  Serial.print(F("... "));
  if (radio.connect_to_ap(ssid, password)) {
    Serial.println(F("Success"));
  } else {
    Serial.println(F("Failed"));
  }
}

boolean establishTcpConnect() {
  Serial.print(F("Establish TCP Connection... "));
  if (radio.connect_progmem(host, port)) {
    Serial.println(F("Success"));
    return true;
  } else {
    Serial.println(F("Failed"));
    return false;
  }
}

void readHttpPacketAndProcessLEDStatus() {
  char *data;
  while ((data = radio.get_response_packet(PACKET_MTU, 5000))) {
    if (data) {
      Serial.println(F("Response Received..."));
      Serial.println(data);
      if(strstr(data, "ON") != NULL) {
        digitalWrite(ledPin, HIGH);
      }else{
        digitalWrite(ledPin, LOW);
      }
      free(data);//Mandatory
    } else {
      Serial.println(error_data_null);
    }
  }
}

void httpGetLedStatus() {
  Serial.println(F("Sending GET request... "));
  radio.send_progmem(http_get_request);
  radio.send_progmem(http_useragent);
  radio.send_progmem(http_host);
  radio.send_progmem(http_close_connection);
}
void setupGPS(){
  // Start the software serial port at the GPS's default baud
  gpsSerial.begin(GPSBaud);
  Serial.println("GPS Start");//Just show to the monitor that the sketch has started
}
void setup() {
  delay(2000);
  pinMode(ledPin, OUTPUT);
  radio.begin(9600,2,3);
  Serial.begin(9600);
  while (!Serial) {};
  //setupStationMode();
  //joinAP();
  setupGPS();
}
void displayInfo()
{
  if (gps.location.isValid())
  {
    Serial.print("Latitude: ");
    Serial.println(gps.location.lat(), 6);
    Serial.print("Longitude: ");
    Serial.println(gps.location.lng(), 6);
    Serial.print("Altitude: ");
    Serial.println(gps.altitude.meters());
    Serial.println("Speed MPH:");
    Serial.println(gps.speed.mph());
  }
  else
  {
    Serial.println("Location: Not Available");
  }
  
  Serial.print("Date: ");
  if (gps.date.isValid())
  {
    Serial.print(gps.date.month());
    Serial.print("/");
    Serial.print(gps.date.day());
    Serial.print("/");
    Serial.println(gps.date.year());
  }
  else
  {
    Serial.println("Not Available");
  }

  Serial.print("Time: ");
  if (gps.time.isValid())
  {
    if (gps.time.hour() < 10) Serial.print(F("0"));
    Serial.print(gps.time.hour());
    Serial.print(":");
    if (gps.time.minute() < 10) Serial.print(F("0"));
    Serial.print(gps.time.minute());
    Serial.print(":");
    if (gps.time.second() < 10) Serial.print(F("0"));
    Serial.print(gps.time.second());
    Serial.print(".");
    if (gps.time.centisecond() < 10) Serial.print(F("0"));
    Serial.println(gps.time.centisecond());
  }
  else
  {
    Serial.println("Not Available");
  }

  Serial.println();
  Serial.println();
  delay(1000);
}
void processGps(){
   // This sketch displays information every time a new sentence is correctly encoded.
  if (gpsSerial.available() > 0)
    if (gps.encode(gpsSerial.read()))
      displayInfo();
}
void loop() {
  /*if(establishTcpConnect()){
    httpGetLedStatus();
    readHttpPacketAndProcessLEDStatus();
  }*/
  processGps();
  }