Every home should be charged €4 per month for every medium in use, as part of an overhaul of the TV licence fee.
Fine Gael's Catherine Noone says this would mean a household with just broadband pays €48 a year, while a home using a landline and broadband would pay €96.
Senator Noone has also questioned the level of funding going to the state broadcaster, RTÉ.
She said: "People are criticised for the amount they earn in RTÉ and there is a lot of legitimacy to that debate.
"But the reality is that I think we do need a certain amount of money for the national broadcaster, I wouldn't like to see it go down the road where commerce rules.
"But at the same time, do we need 2fm?"