The shock message has come from the Grand Prix Drivers' Association, and in the wake of Sunday's scenes at the British Grand Prix where a number of blowouts overshadowed the race.
Tyre supplier Pirelli has quickly responded, introducing a two-fold plan to address the crisis that took place at Silverstone.
For this weekend, the belt on the rear tyres is now made of Kevlar - a high-strength synthetic fibre which is more resistant to punctures - as opposed to the steel that was previously used.
Significantly, from the Hungarian Grand Prix onwards, the tyres will change again, comprising 2012 construction with 2013 compounds.
Earlier today, in the paddock at the Nurburgring, the message from the drivers was predominantly positive, with many praising Pirelli for the speed of their response.
But following a meeting on Thursday of the GPDA - chaired by Pedro de la Rosa and with Sebastian Vettel and Jenson Button as directors - it has now emerged the drivers are more than willing to not drive should there be a repeat of the scenes witnessed four days ago.
A statement read: "The drivers of the Grand Prix Drivers' Association wish to express their deepest concerns about the events that took place at Silverstone.
"We trust the changes made to the tyres will have the desired results and that similar problems will not occur during the German GP weekend.
"We are ready to drive our cars to the limit, as we always do, and as it is expected by our teams, sponsors and fans.
"However, the drivers have decided if similar problems should manifest themselves during the German GP, we shall immediately withdraw from the event, as this avoidable problem with the tyres endangers again the lives of drivers, marshals and fans."
The last occasion drivers withdrew from a race was ahead of the 2005 United States Grand Prix at Indianapolis.
In that instance concerns had materialised in Friday practice when a number of incidents involving the Michelin-shod cars took place.
Worst hit was Toyota's Ralf Schumacher who suffered a frightening smash into the wall of the banking surrounding the famed oval part of the circuit.
Frantic negotiations took place prior to the race in a bid to find a resolution, but with none found, the 16 cars using Michelin tyres pulled into the pitlane at the end of the parade lap.
It led to a farce of a race as the six remaining cars on Bridgestone rubber lined up, prompting angry scenes in the grandstands.
Mark Webber, a former director of the GPDA, has today revealed if the scenes then had manifested themselves earlier in the British GP weekend, then the drivers would again have pulled out.
"It was probably fortunate in Indy we found the problem in practice," said Webber.
"The tyres were failing at a very high-speed nature in a dangerous corner, so the race couldn't go ahead (for those using Michelin tyres).
"The problems we had on Sunday, if we'd had them on Friday, then the result probably would have been the same (a withdrawal).
"You can't just magically turn up with a new type of tyre overnight and supply a hundred set of tyres through the pitlane.
"So we were probably fortunate in a way we got away (with things) at Silverstone on Friday. That was the big difference."
The statement from the GPDA proved to be a bolt from the blue given the remarks from its members throughout the day at the Nurburgring.
Vettel said: "It's good that within a week we have been able to get a different tyre for this race which hopefully is safer for all of us.
"Obviously the last race was not what we wanted, not satisfactory, so it's good we have a new tyre here.
"How much better and how different it will be is difficult to judge at this stage, but I'm confident it's a step forward."
As for Button, he added: "The important thing is the safety issue. We don't want tyre explosions.
"With the tyre for this weekend, we haven't seen an issue with this type of construction.
"As far as I know it is very similar to what we had last year in terms of using Kevlar instead of metal in the tyre.
"We didn't have any issues last year, so I am happy they've been able to bring this tyre, taking three or four days to sort it out.
"Last weekend was tough for Pirelli, tough for all of us, especially the drivers.
"So to turn it around and bring a totally different construction here will help the situation. It is good."
McLaren team-mate Sergio Perez, who suffered two blowouts - one in practice and again in the race - said: "It's definitely important to change something for safety, no longer for the performance.
"It's very important as drivers we feel safe because there could have been an accident in the last race, so it's definitely a good thing Pirelli is reacting and making changes."