Potters Bar Town will face a trip up the A1 after the draw was made for the first round proper of the FA Trophy.
The Scholars had advanced to that stage with a 2-1 victory at home to Whitehawk on Saturday and will now head to Biggleswade Town for the next stage.
The Waders play in the Southern League Premier Division Central, the same level as Bar, and have one win and four draws from their opening nine league games.
They secured a 1-0 win on Saturday away to Marlow, Theo Afori getting the winner.
That game will be played on Saturday, October 26, meaning the Scholars' league match against Cray Wanderers will be postponed.
The clash against the Hawks put the two Isthmian League Premier Division sides up against each other, two weeks after the Brighton-based club had won 2-0 on their home turf in the league.
Potters Bar had fallen behind to a Charlie Walker goal on 14 minutes but Brandon Adams levelled on 33 before Steve Cawley bagged the winner 10 minutes after the break.
And aside from the delight in the strikers both netting, there was pride in a job well done.
"Our front pair were really good, our press was good and we took our goals well," said Mitchell.
"It wasn't the prettiest game but not all of them are going to be like that.
"Sometimes you have to adapt to how the game is going and we did that really well.
"The two important moments were the goals. It wasn't a game full of chances and there were similar to us, neither created loads, but in these type of games you have to dig in.
"And we were good in the important moments which has essentially got us through to the next round of the cup.
"It's important that your strikers are scoring and both Brandon and Stevie scored and both made it two in two.
"I'm really pleased for them and the core and the spine and the nucleus of the side were excellent.
"Joe Re probably had his best game in a Potters Bar shirt.
"First half I felt we could have done more on the ball, I felt our forward movement could have been a little more aggressive.
"But we're on a journey here and we're working towards that.
"We've been religious and relentless in what we want with our expectations off the ball but we felt that this would be a game we could use to challenge the players to be better on the ball.
"Whitehawk are good opposition, they beat us two weeks ago and they stifled us in moments but we wanted to continue our performance [from the 5-0 win over Lewes].
"We understood that you don't have many games like that and we knew Whitehawk would be a difficult test but back-to-back wins, another win at home, which is important, and through to the next round."
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