The incident has been put on the agenda after Russia renewed its demands for an independent UN investigation into the explosions, according to the AP news agency.
The UN ambassadors in Sweden, Denmark and Germany have sent a joint letter, which was posted on Twitter by the Danish Ministry of Foreign Affairs, ahead of the Security Council meeting on Tuesday.
Nord Stream is addressed under the item "Threats to international peace and security".
Have informed Russia
All three countries are conducting their own investigations into the leaks on the Nord Stream 1 and 2 gas pipelines that were discovered at the end of September.
In the letter, the countries state that the leak was caused by explosions as a result of sabotage.
"These investigations are not yet finished.
Right now it is not possible to say when they will end.
The authorities in Denmark, Germany and Sweden have had a dialogue about the investigation of the gas leaks and the dialogue will continue," it writes and continues:
"Russian authorities have been informed of the ongoing investigations."
No vote
Both Sweden and Denmark have rejected Russia's proposal for a joint investigation.
Russia, in turn, has accused Sweden of possibly having "something to hide".
There is not expected to be a vote in the Security Council on the Russian proposal for an international investigation on Tuesday.
Some UN diplomats see the proposal as a Russian diversionary maneuver from a vote in the General Assembly on Thursday regarding Russia's war of aggression in Ukraine, AP writes.
Neither Sweden, Denmark nor Germany is currently on the Security Council.