Demand for Irish passports soared to a record high in 2016 -and the peak surge came in May following the UK's vote to leave the European Union.
Strangford MLA Jonathan Bell has been suspended from the DUP.
The party's officers discussed what action to take against the former enterprise minister this weekend.
More than twice the number of Irish passports were issued to people in Great Britain last month than in November 2015.
The number issued to people in the North of Ireland also doubled, in the largest monthly increase since the Brexit vote.
June's result has sparked a marked rise in the number of people applying for Irish and European Union passports.
November is normally one of the quietest months of the year for passport applications.
But the total number from the Six Counties - 4,569 - was up by more than 600 from October.
Some 6,855 people people in Great Britain applied for an Irish passport in November 2016, a significant jump from 3,133 last year.
Applications from the North went up from 2,267 in November last year to 4,569 last month.
