Olympic silver medallist Blake ran 9.69 seconds, beating American Tyson Gay into second place.
Only Bolt, the London 2012 100m and 200m champion, has ever run faster over the shorter distance.
“I have been sick all week, thank God I recovered,” Blake told BBC3.
“I have more races and I’m going to get better and better.
“I would run with Usain any day, he’s my training partner. I would love to run with him, but they have to put up big money.”
Bolt himself was not troubled on his way to 200m victory in 19.58 seconds with Churandy Martina of the Netherlands second with 19.85 and Jamaican Nickel Ashmeade third with 19.94.
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