Is it possible to refactor this extension method?

Question

I have the following extension method:

public static void ThrowIfArgumentIsNull(this T value, string argument) 
    where T : class
{
    if (value          


        

Answer 1

In a word: no.

The extension method is passed a value. It has no idea where the value comes from or what identifier the caller may have choosen to refer to it as.