Iranian Oil Minister Javad Owji said "good things will happen regarding Iran's oil sales in the coming months."
OPEC+ has been easing record output cuts agreed in April 2020 as demand recovers.
Saudi Arabia, the world's biggest oil exporter, was hit hard last year when oil prices plummeted.
The $11 billion project, which will double the existing Nord Stream pipeline across the Baltic Sea and allow Russia to bypass Ukraine when piping gas to Europe, has been a focal point of tensions between Moscow and Washington.
To counter the price spike, the new Taliban government asked Shi'ite Iran to keep the borders open for traders.
India is mostly buying WTI Midland—the light, sweet crude grade produced in the top U.S. shale region, the Permian Basin, due to attractive prices.
Interplay of geography and demand underpins energy interdependency between the two countries, IHS Markit report says.
Saudi Aramco is using the rise in oil prices to reduce leverage and invest in increasing production capacity, bucking the trend among international rivals to raise returns to shareholders.