Ricciardo suspects Hamilton would have been capable of a quicker time than Verstappen.
While Mercedes and Ferrari opted to qualify on the ultrasoft tyres in Q2, Red Bull went for the hypersofts, which means Verstappen and Ricciardo will have the advantage of grippier rubber in the early stages.
The Red Bull driver has been under growing pressure this season following a number of key incidents, even suggesting he might "headbutt someone" on Thursday in response to ongoing questions about his performance.
Verstappen, who started from the rear of grid at the Monaco Grand Prix after a crash in qualifying, offered the promise of something much better in Montreal, taking full advantage of an upgraded power unit to clock a polished one minute, 13.302 seconds around the 2.7 mile (4.34 km) sun-splashed Circuit Gilles Villeneuve. Red Bull is running new Renault engines in both cars this weekend and, fortunately for Ricciardo, the problem was rectified without the need for a component change. While the strategy will give Hamilton and teammate Valtteri Bottas fewer laps to become accustomed to the the hyper-soft ahead of their qualifying laps, it gave the team more super-soft and ultra-soft tyres to test during Friday practice, which are expected to be the better race tyres.More news: 12 dead, 31 wounded in Kabul govt ministry attack
Lewis Hamilton will look to ensure he retains the lead in the 2018 Formula One driver standings with victory in the Canadian Grand Prix on Sunday, although Ferrari's Sebastian Vettel is closing in. "I will never do that, because it's brought me to where I am so far".
"To be third is great for us and I think in the race we can do a really good job.""I don't think a pole was ever guaranteed for us".
The Dutchman also put his teammate Daniel Ricciardo in the shade by over a tenth-and-a-half as the Monaco race victor struggles to find the same pace around the Circuit Gilles Villeneuve.
Kiwi driver Brendon Hartley, whose F1 future is up in the air after it emerged the Toro Rosso team made a bid for McLaren protege Lando Norris, was 12th and 1.691s off the pace in the second practice. "And I think if I get a few more, I'll head-butt someone". "The auto was working really well". "But looking at where we were, it doesn't make me satisfied, but I feel like we did all we could with what we had".More news: Liverpool can sign Gelson Martins for free
"So, I'm going to have to work for it, but I would love to have this feeling every race, that we genuinely believe we've got a chance to win..."
"If the others are sliding around in dirty air or whatever, we should be able to get a bit more out of them". Obviously if something happens in practice then we will probably have to take one, but no is the answer today.
Asked about his driving style after arriving in Montreal, he said, "I get really exhausted of all the questions".More news: Paris on lockdown as 'armed man takes hostages'