With the F1 circus moving on from Korea to Japan over the next few days, and with just seven weeks of the current campaign remaining, Hembery and Pirelli are beginning to run out of time when it comes to their plans for the sport's new era.
The switch to 1.6-litre V6 turbo powerplants - that will incorporate the all-new energy recovery system as well as KERS - from the current 2.4-litre V8 engines, will be a game changer in more ways than one.
For Pirelli, it will mean a complete redesign of their rubber, which has rarely strayed from the spotlight this season, with blowouts and high degradation par for the course.
In order to avoid their tyres for 2014 being either too extreme or too conservative, they are desperate for track time with a relevant car to ensure they avoid the wrath of all within F1 again.
But such a simple request as testing a 2011 McLaren in Austin ahead of the United States Grand Prix was blocked for fear the Woking-based marque would gain an advantage going into the race.
Despite the fact McLaren are not involved in either title battle and have not been on the podium all season, the self-serving interests of other teams again came to the fore.
Hembery's request for a team to remain behind for an extra few days after the season-ending race in Brazil so the tyre manufacturer can use a 2013 car has also so far been met with silence.
Hembery's frustration is growing as he said: "We're still talking about trying to sort testing out and we're in October.
"Right now we're running around in a 2010 car, developing tyres for the 2014 car, which nobody really knows what it's going to look like.
"Yet every time we ask to test with a 2011 car we face opposition, despite the fact next year will significantly be about the compounds.
"Structure-wise I'm less concerned because if the data we are getting from the teams with regard to loads is correct then we know we can simulate that and do indoor testing.
"With regard to compounds, we want to reduce the marbles (the chunks of rubber from degrading tyres) and increase the mechanical strength of the compound itself, but we need to test on certain tracks to do that, and we need a car.
"Ideally at the end of the season we'd like to use some of these cars because they're the best and quickest we've got at the moment.
"It would make sense to use them because for the majority of the teams they'll be of little relevance anyway.
"Going forward, to do what we need to do, we need to have the ability to test and help everybody - drivers and teams.
"Whilst nobody wants to think they're going to get an advantage in testing, you can't carry on going round in circles and decide to do nothing. Something has to change."
Over the course of the weekend in Korea, Pirelli came under fire from Ferrari's Fernando Alonso and Red Bull's Mark Webber, with the latter one of the most vociferous critics all season.
Even after watching Sebastian Vettel score a fourth straight win to leave him on the brink of his fourth consecutive title, Red Bull team principal Christian Horner described the tyres as being "too much on the limit".
Such comments are why Hembery is determined to get it right for next year, but knows that is impossible if the teams continue to tie his hands behind his back.
Asked whether he was worried about heading into the winter with the teams still talking of helping, but no action, he replied: "That is always the risk.
"We're already looking forward to the way the sport might be structured to getting this sort of thing resolved in a sensible fashion.
"You have to get something that works for everybody, that is clear, however, we need to do something that works for the sport."