Slowly whisk in 1 cup olive oil until well blended.
Add it to the mixture in the bowl and whisk until combined.
Whisk in water, a little at a time until smooth.
Place all the ingredients in a bowl and whisk until firm.
Whisk over very low heat until thick enough to coat a spoon.
Whisk in the eggs 1 at a time until blended.
Whisk on high speed for about 3 minutes, until light and creamy.
Add one cup of the soup and whisk until blended.
Add milk 1/2 cup at a time, whisking after each addition until smooth.
Whisk over medium heat until boiling and cook 3 minutes longer.