Dependency injection with asp.net identity and property injection with dbcontext

I configure asp.net identity using Simple Injector

  var container = new Container();
  container.Options.DefaultScopedLifestyle = new WebRequestLifestyle();

  //Identity
  container.RegisterPerWebRequest<AppDbContext>();
  container.RegisterPerWebRequest<IUserStore<User, int>>(() => new UserStore<User, Role, int, UserLogin, UserRole, UserClaim>(new AppDbContext()));
  container.RegisterPerWebRequest<IRoleStore<Role, int>>(() => new RoleStore<Role, int, UserRole>(new AppDbContext()));
  container.RegisterPerWebRequest<AppRoleManager>();
  container.RegisterPerWebRequest<AppUserManager>();
  container.RegisterPerWebRequest<AppSignInManager>();

  container.RegisterPerWebRequest(() =>
  {
    if (HttpContext.Current != null && HttpContext.Current.Items["owin.Environment"] == null && container.IsVerifying)
    {
      return new OwinContext().Authentication;
    }
    return HttpContext.Current.GetOwinContext().Authentication;

  });

And configure a property injection for BaseController and my DbContext

My BaseController

 public class BaseController : Controller
  {
    public ISessionContext SessionContext { get; set; }
  }

My register in simple injector

  container.Register<ISessionContext,ClaimsSessionContext>();
  container.RegisterInitializer<BaseController>(ctrl =>
  {
    ctrl.SessionContext = container.GetInstance<ISessionContext>();
  });

My DbContext

  public class AppDbContext : IdentityDbContext<User, Role, int, UserLogin, UserRole, UserClaim>
  {
    public ISessionContext SessionContext { get; set; }
    public AppDbContext()
      : base("AppConnection")
    {
    }
    public static AppDbContext Create()
    {
      return new AppDbContext();
    }

And my simple injector register for property injection

   container.RegisterInitializer<AppDbContext>(db =>
      {
        db.SessionContext = container.GetInstance<ISessionContext>();
      });

I wonder if there would be no problem injecting SessionContext property next to my DbContext, for every request it is also instantiated

Suggestions? This ok ?