The record-breaking 22-race calendar for 2014 poses a major issue for F1's team managers such as Rivola, who handle the logistical side of a marque's operation.
The headache-inducing part of the schedule involves an unprecedented triple header where Monaco, the new Grand Prix of America and Canada are staged across three successive weekends.
Attempting to transport the cars and all the tonnes of freight across the Atlantic in the space of 72 hours appears daunting.
Rivola said: "Even for a top team it's something almost impossible to get done.
"To be honest I'm still hoping there are 20 races as per the current sporting regulation. We will see.
"At the moment the calendar is not the best in terms of logistics, but when it is 100 per cent fixed we will manage it."
Rivola is referring to the fact the race in New Jersey is at present only provisional, along with those in Korea in Mexico, with the calendar due to be ratified in early December.
Grand Prix of America promoter Leo Hindery Jr is adamant his event will go ahead, but there are not many in the sport who would wager the race will get under way on June 1.
As Sauber's Beat Zehnder remarked: "I think we would have to start packing up on Saturday in Monaco to make it to Jersey.
"Technically, it will be very difficult to have a back-to-back from Monaco to Jersey.
"Normally the freight would leave for Canada on the Saturday before the race.
"So if we're only able to send our freight on a Monday or a Tuesday, it would compromise the weekend quite a bit."
Caterham's Graham Watson added: "We all carry pretty similar freight weight and sea-freight and so forth.
"It is difficult when the calendar's not 100 per cent fixed and you are trying to pre-empt what's going to happen.
"But Monaco to New York does look particularly challenging."
Mercedes' Ron Meadows believes there will be a solution as he said: "The biggest issue at the moment looks like being the triple-header.
"We need to speak to FOM (Formula One Management), but in FOM we have a fantastic partner (DHL) who arranges all the logistics.
"They do a fantastic job, so if they think it's achievable it must be achievable because they've never failed us yet."