"All three states were won by large numbers of voters, especially Pennsylvania, which was won by more than 70,000 votes", Mr. Trump said.
"In addition to winning the Electoral College in a landslide, I won the popular vote if you deduct the millions of people who voted illegally", he posted to Twitter at 4:30 p.m. on Sunday, as part of an 12-tweet thread on the social media website.
Trump narrowly won Wisconsin and Pennsylvania and, as of last Wednesday, held a lead of nearly 11,000 votes in MI, with the results awaiting state certification Monday.
Should Clinton actually win these states, she would have enough votes to be the president-elect, beating Donald Trump 278 to 260.
Clinton's campaign also indicated over the weekend that it would join in the recount process in Wisconsin, as well as any potential recounts in Pennsylvania and MI, key battleground states where Clinton lost.
Stein said she is "proud to stand up for election integrity" regardless of whether it changes the outcome of the presidential race. That's more than triple what the commission originally estimated and would be half of the $7 million fundraising goal Stein said was needed for recounts in Wisconsin, Pennsylvania and MI.
Trump was responding to the Clinton campaign's announcement that they intend to back the statewide presidential election recount effort taking place in Wisconsin, which was led by Green Party candidate Jill Stein.
This drew an angry response from Mr Trump over the weekend. "Nothing will change", Trump wrote in a Twitter tirade early Sunday.
"It is a total and complete hypocritical joke that the group of people that thought that they were nervous about President-elect Trump not conceding are the people that are conducting recounts in states where we won by over 68,000 votes", said incoming Trump Chief of Staff Reince Priebus on "Fox News Sunday".
It is ironic that a key issue during the campaign was whether or not Trump, should he lose the election, concede defeat graciously.
"If this much attention and oxygen is going to be paid to a frivolous fundraising scheme, then there should be substantive looks at voter fraud and illegal immigrants voting", Trump transition spokesman Jason Miller, referring to Stein's fundraising efforts to pay for the recount, said during a call with reporters Monday.
Stein pointed to "hack-friendly" voting machines and restrictive voter identification laws as hindrances to accurate and reliable elections. And even if it did, Clinton would need MI and Pennsylvania too.
In Michigan, the request goes to the Board of State Canvassers and Trump can challenge the request.
The Clinton camp says they'll have representatives monitoring the count, as well as lawyers to represent them in court should it come to that.
Trump carried Wisconsin by 22,177 votes over Clinton.
The Electoral College results are expected to be finalised on 19 December and Mr Trump will take office on 20 January. He believes Clinton only won the popular vote because illegal immigrants were able to vote.
It takes 270 to win the Presidency, and the three states in question could tip the electoral balance to Ms Clinton in the remote event that all flipped to her in recounts.