TITLE: Quote by Thurston on the Ricci flow
QUESTION [11 upvotes]: I recall seeing a quote by William Thurston where he stated that the Geometrization conjecture was almost certain to be true and predicted that it would be proven by curvature flow methods. I don't remember the exact date, but it was from after Hamilton introduced the Ricci flow but well before Perelman's work. Unfortunately, most of the results for Geometrization and Ricci flow are from 2003 or after.  Does anyone know if the quote I'm referring to actually exists, and if so, where to find it?
There is a quote from Thurston lauding Perelman's work, which suggests that he thought the Ricci flow was a promising approach, but I thought there was one from before as well.

That the geometrization conjecture is true is not a surprise. That a
proof like Perelman's could be valid is not a surprise: it has a
certain rightness and inevitability, long dreamed of by many people
(including me). What is surprising, wonderful and amazing is that someone – Perelman – succeeded in rigorously analyzing and controlling this process, despite the many hurdles, challenges and potential pitfalls.

Thanks in advance.

REPLY [7 votes]: There is a video of Thurston's talk "A discussion on geometrization" from May 7, 2001. In the last part of this talk he speaks about possible approaches to proving geometrization.
Starting from 46:55 he spends 20 seconds mentioning heat type flows (probably Ricci flow) and says that it might or not work. But then he switches to describing a different approach which he thinks is more robust.
The part of the talk where he starts to speak about future predictions in the sense of proving geometrization starts at 39:32.