A process is underway at the NATO headquarters in the Dutch city of Brunssum, where member countries around the Baltic Sea are reporting units that can participate.
The operation is expected to last for several months to protect critical infrastructure with the help of both naval vessels and aircraft, according to the TV channel.
Sweden may soon contribute with several naval vessels, including a corvette, to the operation, according to SVT's information.
Defense Minister Pål Jonson (M) tells the TV channel that "work is underway within NATO" to determine what resources it could involve.
The information comes on the same day that Finland has called a NATO summit to discuss the suspected cable sabotage in the Finnish Gulf and security in the Baltic Sea. The leaders will also discuss an increase in NATO's presence in the Baltic Sea and the threat from the Russian shadow fleet, writes Hufvudstadsbladet.
The host of the meeting, to be held on Tuesday next week, is Finland's President Alexander Stubb and Estonia's Prime Minister Kristen Michal.
The meeting is being held against the backdrop of the incident involving the oil-carrying vessel Eagle S, which is suspected of having dragged its anchor for tens of kilometers on the seabed and thereby damaging several important underwater cables between Finland and Estonia, which was noticed on December 25.
Eagle S, which is being held in a Finnish harbor, sails under the flag of the Cook Islands but is suspected of being part of the Russian shadow fleet to circumvent international sanctions.