Story highlights "There needs to be an independent, thorough review," Fallon said

"Donald Trump won. Period. Full stop," he added

Washington (CNN) Hillary Clinton's former campaign aides are apoplectic about revelations that top advisers close to now-President Donald Trump's campaign were in constant communication with Russians known to US intelligence during the 2016 contest.

Now, they are weighing how to hold Trump's feet to the fire without making it look like they are questioning the legitimacy of his 2016 win.

"There needs to be an independent, thorough review to get to the bottom of Trump's connections with Russia," Brian Fallon, Clinton's former press secretary, told CNN in an interview. "It should not be about relitigating the campaign. The campaign is over. Donald Trump won. Period. Full stop."

Fallon added that "dwelling on" the loss wouldn't be productive for Clinton's former aides, despite the fact it could be soothing.

The news that Russian nationals were regularly communicating with then-campaign chairman Paul Manafort and then-adviser Michael Flynn comes as no surprise to the upper echelon of Clinton's campaign. For months before Election Day, Clinton and her aides made the case that Trump was being used by Russia, regularly detailing how Russian President Vladimir Putin was looking to help Trump in an attempt to thwart Clinton.

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