Sinn Fein MLA Francie Molloy has urged anyone making allegations about him to do so in public.
The comments come ahead of next month's Mid Ulster by-election, where he will be up against a candidate whose father was murdered by the IRA. Nigel Lutton is a unionist unity candidate, backed by both the DUP and UUP.
His father Eric, a police reservist, was shot dead as he locked the gates of Argory House near Moy in May 1979. In 2007 DUP MP David Simpson alleged under Parliamentary privilege that Mr Molloy was involved in the murder – a claim he strongly denies.
Mr Molloy said anyone who wanted to make claims about him should not do so "under the cloak of Parliamentary privilege".