This is despite Gore's deal with arch-rival Sky, who agreed a deal in October last year to carry the channel.
Sky is set to provide Current TV with its first presence outside the US as a step to creating an international media network. Current TV plans to deliver a channel specifically designed for the UK and Irish markets.
Viewers in these markets will be able to submit their video segments via Current TV's and, if selected for broadcast, the content may also be shown on Current TV's US network, and in future territories earmarked for its expansion.
Speaking at the time of the Sky deal, Gore said: "We are grateful to be working with BSkyB in our first international venture. This is a big step in fulfilling Current's mission of sparking a global conversation among young adults."
The channel launched in August 2005 in the US and contains short-form, non-fiction programming, called "pods", which are a few minutes long and which explore the issues of interest to a youth audience, including technology, fashion, music and videogames, the environment, relationships, spirituality, politics, finance and parenting.
In the US, an estimated 30% of the network's content is created by viewers.
The UK agreement with Sky will allow Current TV to reach up to 22m more viewers in 8.2m households.
Virgin Media was not available for comment regarding the deal.