Walsh was left on the bench at Palmerston Park whilst his teammates recorded a 2-1 win, giving them control going into the second leg at Ibrox on Sunday.
A formation change and the omission of late injury call-off Lee McCulloch saw an improved performance from the Light Blues, but the 18-year-old winger – who doesn’t have a natural place in the 3-5-2 system – knows another big performance is needed to take them through to the next stage.
"I think it was a real team effort at Dumfries at the weekend. With the results that we've had down there before this season, it was massive for us to not only get a result but to win the game was great," Walsh said.
"It will mean nothing if we don't perform and get a result on Sunday, so we have got to go out and get another result so we can look to the next round.
"Everybody understands that it's only half time in the match, it's not done yet and there's a long way to go. Sunday is going to be a tough game again - they are a good team and they'll give us a good test.
“We are under no illusions that the job is only half done."
Rangers have the opportunity to continue their path back to the Scottish Premiership at the first time of asking after a long journey through Scotland’s leagues.
Walsh knows Rangers have made it difficult for themselves by involving themselves in all six play-off games, but the young winger is adamant that the main aim of the season was promotion and that can still happen with a successful play-off campaign.
Getting past QoS and Hibernian is still needed as well as victory over two-legs against a Premiership team before Rangers can return to Scotland’s top-flight.