BackgroundWorker with Thread.Sleep()

Hi,

I have a long-running task in BackgroundWorker's Dowork() as follows:

private void BGWorker_DoWork(object sender, DoWorkEventArgs e)
    {
        while (true)
        {
          if (UDPSocket.Available > 0)
          {
            UDPSocket.Receive(p_ReceiveConsoleData);
          }

          Thread.Sleep(1);
        }

    }

When my application has about 20-30 threads and overall CPU utilization is higher, my BackgroundWorker stops at

Thread.Sleep(1);

When BackgroundWorker stops at above line, other worker threads keep working normally, only the BackgroundWorker calling Thread.Sleep() stops at Thread.Sleep(). His happens intermittently, once in a while.

Following is the screenshot of threads of dump:

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Please help with following: 
1. why does the Sleep() call in BackgroundWorker freezes the particular BackgroundWorker thread?
2. I have while(1) loop in BackgroundWorker is calling Thread.Sleep() required to give execution time to other worker threads? If not, I'll remove Thread.Sleep() call.
3. Should a Timer object be used for long-running task or while loop? 

Thanks.