that very thing
The exact same thing (that someone mentioned). A: "My wife died of Creutzfeldt-Jakob disease a few years ago." B: "I'm so sorry to hear that. My father died of that very thing." A: "I was thinking we could share office space to cut down on the cost of rent." B: "I was going to suggest that very thing!"
that very thing
exactly that. Why, I was just looking for that very thing! You know, I was just about to say that very thing.