The Enstone-based outfit had hoped to be able to race the device at Spa, but the wash out on Friday meant that the outfit could not get it set up to work for the race.
Plus, there was too big a risk of problems in the grand prix if it took a gamble on keeping it on the car.
The fact that Monza is such a low drag circuit from a car setup point of view means that there is limited benefit to using it there.
Lotus team principal Eric Boullier has ruled out the team racing the double DRS in Italy, but it is likely that the device will make a return at the Singapore Grand Prix.
"I am very confident we will not use it, because Monza is Monza," he said. "It is a different aero configuration."
Lotus is not the only team on the verge of racing such a design, because Mercedes began testing components for one in Belgium last weekend.
It is not thought likely that the Mercedes device will be ready to race imminently, but it is being pencilled in for later this season.