The Glovers came away from Morecambe 3-1 victors last weekend, and the Town boss is looking for more of the same on the road in the capital.
“With the performance we had and the number of goals we scored and could’ve scored, we’ve got to take that into today’s game,” Way told YTFC’s official YouTube channel.
“It’ll be important to play with the same fluency and enjoy it at the same time.
“Provided we get the performance right and play with passion, that’s all you can ask for.
“The players certainly gave all of that against Morecambe and we’re looking for the same tonight.”
Yeovil’s clash with Barnet at the Hive is the only Sky Bet League Two fixture tonight with all 22 other teams in action 24 hours previous.
The match will be Town’s first trip to the capital since the 1-0 win at Leyton Orient back in September, with the Hive holding fond memories for Way.
In their final away game of the 2015/16 campaign, the Green and Whites came from behind twice to claim a 4-3 victory courtesy of Harry Cornick’s last-minute winner.
Ten months later, the Yeovil boss is hoping for another positive trip for the travelling faithful.
Way said: “Looking back at the scenes the last time we played Barnet (away), it was certainly my most memorable moment as a manager and most enjoyable moment as a manager.
“It was a great comeback, and one the supporters enjoyed.
“I appreciate their support wherever they travel. I know it’s very, very difficult with work commitments but some of the loyalty gone into supporting the team this year has been fantastic.
“When I first took over I talked about sense it, see it, feel it and it’s exactly the same with the supporters because you really sense when they’re behind the team and it really helps.”
Tickets are available to purchase on the gate, with cash only.