The recount, which was requested by Green Party candidate Jill Stein, who received a minute fraction of the total vote, flew in the face of an election "that has already been conceded", Trump said.
Elias says Clinton will take the same approach in Pennsylvania and MI if Stein follows through with recount requests those states, even though that's highly unlikely to change the election outcome.
The president-elect also mentioned Clinton's remarks during one presidential debate, when she called it "horrifying" that Mr. Trump was declining to say he would absolutely accept the general election results.
Marc Elias, the Clinton campaign counsel, said the campaign would take part in the recount in Wisconsin as well as in the other battleground states of Pennsylvania and MI if recounts were mounted there.
If we raise more than what's needed, the surplus will also go toward election integrity efforts and to promote voting system reform.
However, during the campaign Trump himself threatened to reject the result if he lost, alleging that the race was "rigged" by the media and the establishment elite.
"But now that a recount has been initiated in Wisconsin, we intend to participate in order to ensure the process proceeds in a manner that is fair to all sides", Elias said.
"This is the President-elect's position right now, and I would say he's been incredibly gracious and magnanimous to Secretary Clinton at a time when, for whatever reason, her folks are saying they will join in a recount to try to somehow undo the 70 plus electoral votes that he beat her by", Kellyanne Conway said on CNN's "State of the Union".
Clinton allies were hoping for a turnaround in Wisconsin, Pennsylvania, and MI.
At first glance, her view seems ridiculous, but if people are willing to give Jill Stein more than $6 million for the pledge to demand a recount, maybe there are a lot more damaged brains running around than we thought.
Stein on the other hand, has said that Trump's claims are wrong. "That's what President Trump is going to do, that's what we want to do and this is a total and complete distraction and a fraud".
But Priebus was unmoved, noting that Stein only won 33,000 in Wisconsin.
"After a divisive and painful presidential race, reported hacks into voter and party databases and individual email accounts are causing many Americans to wonder if our election results are reliable", Stein said on her website.