Last month, John Swinney also met with President Trump and Secretary of State Marco Rubio for a 50-minute meeting in the Oval Office.
Following his visit, Mr Swinney told journalists there was a “real chance” of a deal.
It comes as a decision to ease the current 10% tariff the US places on whisky has not yet been made.
The move is being framed by UK trade officials as mutually beneficial: around 60% of Scotch whisky is aged in bourbon barrels imported from Kentucky, representing a $300 million trade annually, meaning that lowering US tariffs on Scotch could indirectly support American bourbon producers, sources familiar with the talks told Bloomberg.
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The UK industry says the current duty costs it around £20 million per month in lost exports.
UK officials and the Scottish Government have been attempting to strike a better deal for whisky in recent visits from the US President to the UK.
A UK Government spokesperson said; “Scotch whisky already enjoys preferential access to the US market compared with other major economies and we will continue to work to ensure this deal protects British jobs and puts money in people’s pockets.”