US-Russia conflict could enter a new phase very soon in the coming days or weeks but in a different battlefield in Syria.
As you may know US is illegally occupying Syria, more specifically the oil rich regions
to steal Syrian energy; while both Iran and Russia are in Syria with the direct invitation of the country to help fight the US backed terrorists.
Recently US has been activating its terror cells inside Syria (more specifically the Takfiri terrorists in north and north-west Syria + separatists/terrorists in eastern Syria) while moving in more forces to their own illegal bases. There is also talks of air defense being sold to terrorist militia in the separatists occupied Northern Iraq (Kurdistan region).
Meanwhile there has been some "face off" between Russian air-force and USAF where they just put on a show for each other! as armed forces are increasing there with increasing tensions.
Such tensions on a smaller scale are not unusual but the other side is usually the resistance against illegal occupation and they end it very quickly using
Shock and Awe. Like last month where USAF bombed one of their weapons storages so they retaliated by bombing 5-6 US bases in the region with over a hundred missiles, rockets, shells and loitering munitions.
The economic significance of this is on energy. With the tensions that US is increasing and as they keep destabilizing the most oil rich region, specially if Russia is pulled into the conflict and continues its air attacks against terrorist positions (or rather increases them) while giving air support to the resistance, it could free them up to focus on US occupiers.
As I said above this could prevent US from stealing Syrian energy that includes between 60k to 100k barrels of oil per day. In today's oil market this amount going back to the energy starved Syria in addition to the conflict in the most oil rich region could significantly increase the oil price, could be even above $100.
Nothing is certain though, we have to wait and see what the next move is and what the scale of the upcoming conflicts are going to be like. It could be from small skirmishes that end abruptly with another Shock and Awe so no major effect on energy prices to a larger conflict that starts in both Syria and Iraq and ends up in the Persian Gulf specially since recently US announced sending some toy aircraft (ie. F-16 fighter jets) to The Persian Gulf where ~20 million barrels of oil pass every day.