A review by the assembly into Donaldson's conduct during his time at Stormont has found "no relevant information".
Jayne Brady sent an email to NI Civil Service staff on Wednesday as she launched a "scoping exercise" after Jeffrey Donaldson's conviction.
The 55-year-old was arrested in the Ballynahinch area on Tuesday and will appear in court in August.
Jeffrey Donaldson had asked for his knighthood to be forfeited after his child sex abuse conviction in June.
The deputy first minister says people who worked alongside Jeffrey Donaldson are "floored, shocked and utterly repulsed".
Jeffrey Donaldson, who has been convicted of 18 counts of sex abuse, was a member of the UUP from 1985 until 2003.
His legal team has lodged the paperwork with the Court of Appeal in Belfast.
The man leading the review into Jeffrey Donaldson's time in the DUP says he will not "cover up for anyone".
Jim Gamble has been commissioned to lead an independent review for the DUP over Jeffrey Donaldson's actions.