Last year, the Frenchman became the first F1 driver in years to serve a race ban, following a string of first-lap crashes.
He admitted to RMC Sport it may seem "ironic" that he therefore supports a system that could lead directly to more race bans.
It is reported that errant drivers will earn 'demerit'-style points against their FIA super license for on and off-track indiscretions, leading to race bans.
Grosjean said: "If there is a nice system that comes in, why not?
"Right now, it is the stewards who decide: it's like boxing or judo, it's arbitrary."
But not everyone on the grid is so accepting. Jules Bianchi, Marussia's rookie driver, said the new system also sounds too arbitrary.
"I've heard that the sanctions could vary from 1 to 3 points," he said. "They're going to say 'You did it in this way, so 1 point. You did it in another way, so 2 points.
"So it won't be consistent," added Bianchi.
Another opponent is F1's reigning world champion, Sebastian Vettel.
"I don't like it," the Red Bull driver admitted.
"I've seen a sketch of it (the plan) and I think you have the potential of scoring points for some things that are not entirely in our hands, and small things that at the end of the day the consequence could be very big," added Vettel.