I don't think he is talking about someone trying to buy the company ... just a big buyer, a fund/institution/whatever accumulating shares and trying to do so without causing the price to jump even more than it already has.
I don't have Thomas' experience ... but my experience is telling me that big money is rolling into this stock and this sector. And the more big money that rolls in the larger the price jumps will be. Just as when big money was running for the exits selling at "any cost" as the stock was going down we are going to see that on the way up. Imho of course.