Liverpool beat Brighton 2-1 in the Carling Cup fourth round in September and the Reds are expected to secure victory over their Championship opposition once again.
But the 34-year-old defender, who has been involved in shock defeats by Barnsley and Reading in past seasons, warned the Reds not to be complacent.
“There are no easy games in the FA Cup – I could tell you that from the teams we’ve been knocked out by over the years,” Carragher told Liverpool’s website.
“We’ve had some bad results against lower league opposition, but that’s what makes the FA Cup what it is. That’s why it’s so special when you do win it because you realise the pitfalls along the way.
“It would be disappointing if we were to go out having knocked Manchester United out of the last round. It’s a massive game for us and if we win we’ll be into the quarter-finals, and if you do well there then you’re at Wembley. It certainly keeps the season going.”
“Lower league teams can play like they’ve got nothing to lose when they come to Anfield because they haven’t – they’ve got no fear and no worries. If they get beat they’re expected to lose.
“For them it’s a win/win really, but we’re used to that. Most teams we play at Anfield will approach the game like that and there’s always pressure on us to produce at home – and rightly so.”
Carragher believes victory over Brighton would give Liverpool a timely boost ahead of their clash with Cardiff City in the Carling Cup final on 26 February.
“It is important to sign off with a win because you go into it the final with a buzz,” he added.
“You’re still in the FA Cup, which is another competition – hopefully we can win the Carling Cup, but when that’s finished and put to bed, we’ll still need to be in the FA Cup and keep something else to look forward to at the end of the season.”
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