Report says, Democratic Unionist Party leader has said she hopes to conclude a deal "soon" on supporting Theresa May's minority government as talks continue.
After meeting Theresa May in Downing Street, Arlene Foster said discussions were "going well" and she hoped for a "successful conclusion".
There are "no outstanding issues" in the way of a deal.
Ex-Conservative PM Sir John Major said he was "dubious" about a deal and its impact on the peace process.
He said, "if the Conservatives "locked" themselves into a deal with one of the main parties in Northern Ireland, there was a danger the government would no longer be seen as an "impartial honest broker" in restoring the power-sharing arrangements and upholding NI institutions.