He pleaded guilty on Friday to lying to F.B.I. agents about his discussions with Mr. Kislyak about the sanctions.
He promised to cooperate with the special counsel, Mr Robert Mueller, who is investigating possible collusion between Russian Federation and the Trump campaign and obstruction of justice by Mr Trump.
"There's no question that this is going to create a major pause in her nomination", Corker said.
Repeated attempts to reach Ms McFarland, who left her post as deputy national security adviser in May, were unsuccessful.
Even Flynn's contacts with former Russian Ambassador Sergey Kislyak were in hopes of securing either a delay or defeat a United Nations resolution that would condemn Israeli settlements as a "flagrant violation under global law" that threatened the prospect of an independent Palestinian state. McFarland was not mentioned in the court filings, but CNN has reported, citing sources familiar, that she was the transition official who spoke to Flynn. The problem with Flynn's confession is two-fold - first of all, he admitted he lied to the Federal Bureau of Investigation, which - unsurprisingly - is illegal; the other factor of this problem is that what he discussed with the Russian Ambassador is also potentially illegal.
In a statement Monday, Mr Booker said that he was concerned that Ms McFarland might have answered falsely.
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Reports in both The Intercept and The Nation published Tuesday point to the lesser-covered news from former Trump adviser Mike Flynn's plea deal - that the transition team worked with Israel on their controversial (and arguably illegal) settlements in Palestinian territories.
Flynn talked to Mr Kislyak by phone on Dec 29, the day the sanctions took effect, and several days later.
There's ample evidence to suggest that President Donald Trump's transition team colluded with a foreign government - but it's not necessarily just Russian Federation.
The nomination of KT McFarland as the would-be US ambassador to Singapore appears to be in the doldrums amidst concern about her testimony to the US Congress over communications with Russian Federation.
Her written questions to the Senate Foreign Relations Committee did not acknowledge that conversation. In a December 29 message about newly imposed Obama administration sanctions against Russia for its election interference, Ms. McFarland, then serving on Mr. Trump's transition team, told another transition official that Mr. Flynn would be talking to the Russian ambassador that evening.