Async Singleton 2

using System;
using System.Threading.Tasks;

namespace TestProject
{
    public class MyClass
    {
        #region Fields

        // 'eagerly initialized'
        private static readonly MyClass _instance = new MyClass ();

        #endregion

        #region Properties

        private Task<MyClass> Initialization { get; set; }

        #endregion

        #region Constructors

        private MyClass ()
        {
            Initialization = InitializeAsync();
        }

        #endregion

        #region Methods

        public static MyClass Instance()
        {
            // Shouldn't I check if Initialization is null? Would that be thread safe?
            return _instance;
        }

        public static Task<MyClass> InstanceAsync()
        {
            return _instance.Initialization;
        }

        private async Task<MyClass> InitializeAsync()
        {
            // Call async method
            await DoSomethingAsync();

            // Do our own initialization (synchronous or asynchronous).
            await Task.Delay(100);

            return this;
        }

        private async Task DoSomethingAsync()
        {
            await Task.Delay(10000);
            // await Something();
        }

        #endregion

    }
}