Saudi Aramco is predicted to start trading for the first time on Wednesday at a valuation of $1.7tn, making it the most valuable company in the world.
Speaking to journalists after a meeting of the OPEC oil exporters' club in Vienna, Prince Abdulaziz said this week's milestone pricing was a "proud day for all of us."
"We decided to lower the valuation we were seeking, but on the 11th the shares will be trading and in a few months from now… it will be higher than the $2 trillion and I will bet this will happen," Prince Abdulaziz said.
"It is a proud day for all of us. It is a proud day for Prince Mohammed to celebrate," he added, with reference to his half-brother, Saudi Arabian Crown Prince Mohammed bin Salman.