The Foreign Affairs Committee of Britain's Westminster Parliament is to travel to Dublin this week on a fact-finding mission and to consult widely on post-Brexit scenarios.
Its chair, Conservative MP Tom Tugendhat, said he considers the link with Ireland as Britain's single most important bilateral relationship.
He said he very much hopes that the current situation, where the Irish border exists more in name than reality, will continue post-Brexit.
Speaking on RTÉ's Morning Ireland, Mr Tugendhat said the committee did not have a role in the negotiations but its responsibilities start the day after Brexit takes place.
He said his vision is "for as little as possible complication and for as close as possible union, the importance is for people to be able to, if you like ignore the border, because that is the nature of life on the island of Ireland as you all know.
"At the moment there isn't really a border and I'm keen that as little as possible bureaucracy or obstacles stop anybody."
Mr Tugendhat, who was a prominent member of the Remain campaign during the Brexit referendum, said the committee members will not be suggesting solutions, but will be coming to listen.
The committee's schedule will include talks with Minister for Foreign Affairs Simon Coveney and its equivalent Dáil committee, the Select Committee on Foreign Affairs and Trade, and Defence.
They will also hold meetings with former president Mary McAleese and with Ibec representatives.
Members of the committee will also travel to Cavan for talks with local public representatives and interest groups.
Britain's Foreign Secretary Boris Johnson is also due in Dublin this week for talks with Mr Coveney at the Department of Foreign Affairs.
Separately, Taoiseach Leo Varadkar has launched a 'Citizens Dialogue' to discuss the future of Europe.
Speaking at Dublin’s Science Galllery, he said that whatever happens in the next few years, one thing is certain, Ireland will always remain at the heart of the common European home.
He said that is why it is important that Irish people actively engage in shaping and influencing the debate about the future of Europe.
Mr Varadkar said it is a conversation that Ireland would be having even if there was no Brexit, "and it is one that is at least as important".
