UART reception problem when SysTick Interrupt is enabled

I'm using STM32F411RE-Nucleo board and generating a project with Cube MX for System Workbench. The problem is that, HAL_UART_Receive function doesn't receive input from the user, even though I don't change any UART, GPIO, RCC or NVIC configuration.

Surprisingly, when I comment two lines in SysTick Interrupt Handler function i.e. SysTick_Handler, HAL_UART_Receive starts working but this comes with another problem.

void SysTick_Handler(void)
{
     HAL_IncTick();
     HAL_SYSTICK_IRQHandler();
}

HAL_Delay() function doesn't work when I disable those two lines. I guess it's because the processor can't handle the ticks.

How to work HAL_UART_Receive and HAL_Delay work at the same time? I'm a bit new in embedded programming and I'm sorry if I couldn't get myself clear.

Thanks.

Edit:

I use this function for receiving user input:

  if( HAL_UART_Receive_IT(&huart2, (uint8_t*) RxMessage, RXBUFFERSIZE) != HAL_OK )
  {
      while(1)
      {

      }
  }

I don't want the timer to run while using HAL_UART_Receive() function, which is the same as HAL_UART_Receive_IT() but with additional TIMEOUT parameter. As the TIMOUT might call the SYSTICK interrupt, I decided to use HAL_UART_Receive_IT().

Also the full assert is OFF, if it's necessary to know.

Other parts of my code are as follows:

#define RXBUFFERSIZE        3
uint8_t RxMessage[RXBUFFERSIZE];

void SysTick_Handler(void)
{
HAL_IncTick(); //enabled
HAL_SYSTICK_IRQHandler(); //enabled
}

void HAL_SYSTICK_IRQHandler(void)
{
  HAL_SYSTICK_Callback();
}

/**
  * @brief  SYSTICK callback.
  * @retval None
  */
__weak void HAL_SYSTICK_Callback(void)
{
  /* NOTE : This function Should not be modified, when the callback is needed,
            the HAL_SYSTICK_Callback could be implemented in the user file
   */
}