The group has already held a call with Clinton campaign chairman John Podesta and campaign general counsel Marc Elias to argue that while they have not found conclusive evidence of a hack, the pattern in their results merits an independent review.
Ms Clinton has made no indication she would challenge the results and the White House is intent on a smooth transition.
The deadline to file for a vote recount is between Friday and next Wednesday for the three states.
The vote in Michigan has still not been called as the results on 8 November were very close - and the 16 electoral votes in the state have not been proportioned to either Mr Trump or Ms Clinton.
Mr Trump has 290 electoral college votes, compared to Ms Clinton’s 232 votes. Michigan is likely to be given to the Republican side.
Clinton may have got the second-most amounf of votes ever despite losing
Ms Clinton would need to win Michigan and overturn the results in Wisconsin and Pennsylvania to win the electoral college.
Another factor is so-called "faithless electors" who will not vote for the candidate which won in the popular vote in their state. So far, six electoral college voters said they would not vote for Mr Trump.