Latics head into their second-round replay at Mansfield knowing victory will ensure they face the Barclays Premier League giants for the third successive season.
Johnson was not at the helm when Paul Dickov's men stunned Suarez and his team-mates 11 months ago with a 3-2 victory to knock the Reds out of the competition, but the Football League's youngest manager is consistently reminded of that triumph by the images which adorn the rooms at Boundary Park.
And to guarantee they will face Suarez once more, Johnson has challenged his own forwards Danny Philliskirk and Jonson Clarke-Harris to channel the in-form striker's desire to score.
The Oldham boss said: "I was watching Luis Suarez the other day and he's taken the responsibility to score goals. His interview was: I'm a striker, it's my job to score goals so I'm always thinking about scoring'.
"That's what we need, we need someone in this team to capitalise on the mistakes of others and be ready to pounce and have that thought process that 'I'm going to be lucky today or be a pest'. That is an attitude and Suarez has it at the moment."
A trip to Merseyside would bring not just huge monetary rewards for the Sky Bet League One club, but also provide some welcome publicity following Monday's announcement that winger Cristian Montano had been sacked after his arrest in the spot-fixing investigation.
"The lads are buzzing, everyone wants to play at Anfield and I certainly want to be in the technical area at Anfield," added Johnson.
"We should go full of confidence and excitement."
League Two Mansfield, who held Latics to a 1-1 draw in the original clash, have a score to settle with Suarez themselves after he netted a crucial goal with his hand in a 2-1 victory for Liverpool in the third round last season.
Their best chance at setting up that shot at redemption may come through forward Sam Clucas, who has five FA Cup goals to his credit already.
"I don't think words can describe what playing at Anfield would mean," he told the Stags' official website.
"As a footballer, you always want to play in big stadiums against big teams.
"We're one game away from doing that and, if we can beat Oldham, it'll be unbelievable."
There are two other replays on Tuesday night with Hartlepool heading for Coventry and Burton entertaining Fleetwood after both of those ties also ended in 1-1 stalemates first time around.
While the prize on offer is not quite as great as a trip to one of English football's top-level venues, away clashes with Championship clubs Barnsley and Bournemouth await the respective winners.