IHttpContextAccessor scope

Question

I have IHttpContextAccessor injected in a controller. I am reading user name from IHttpContextAccessor and returning it back to the UI.

My question is is very basic. I need to understand how this will work when multiple users will connect and request User Name.

I just want to make sure that the user names will be returned only for the corresponding user.

I don't want to save the user name in session variable after returned to the client. Whenever is needed, I will request a call and get it from the context.

Is this approach valid?

private IHttpContextAccessor ctx
public EmployeeController(IHttpContextAccessor context)
{
  ctx=context;
}

public string GetEmployeeName()
{
   return ctx.HttpContext.User.UserName;
}