The Glovers will play Sky Bet League One outfit Southend United at Huish Park over the weekend of November 3rd.
It will be the fifth meeting between the two sides in the competition – the last of which was in 1982 – and Way is looking forward to the challenge that awaits.
He said: “It’s good to be able to enjoy some home comforts in what we hope will be the start of a strong showing in the FA Cup.
“Southend will be a good test for us and we’ve had some good matches against them over the years.
“Hopefully the magic of the cup will see a good turnout at Huish Park.”