Sunday's 5-3 win at Stoke, their first league success there in nearly 30 years, returned the Reds to fourth place after results for their rivals saw them slip down to sixth 24 hours earlier.
The performance was not without hiccups, however, as the visitors squandered a 2-0 lead and gave themselves a few more nervy moments after conceding again to make it 4-3.
But Gerrard believes the character shown at the Britannia Stadium proves they will not fade away as the competition for Champions League qualification heats up.
"If we'd gone 2-0 up there a few years back we'd have probably lost the game 3-2 after letting Stoke back into it," said the midfielder.
"The manager asked us at half-time if we had the character and bottle to go and win the game and we went and proved we can.
"I was wondering whether our character was going to come through and whether we could turn it back around again.
"We showed that and we went on to win the game emphatically.
"It goes to show how much we've improved and we have a bit more steel in the team.
"Results went against us on Saturday and that added to the pressure going to Stoke.
"I think everyone was looking for us to slip up, looking at Stoke's home form and people questioning our strength away from home, but I think we have proved to everyone we are right up for this fight for the top four.
"We feel as if away from home we can click and get that consistency and we can add that to our home form we are confident we can get what we want, which is top four."
Striker Daniel Sturridge's comeback from an ankle sprain after seven weeks has provided Liverpool with further ammunition alongside the top-flight's leading scorer Luis Suarez.
"He (Sturridge) is a top player with huge potential and he can be whatever he wants to be," said Gerrard.
"He can become a world-class player and it is all about Daniel now - does he want to go and grab it?
"But he looked sharp when he came on and hopefully he can stay fit until the end of the season because with Suarez and Sturridge we are going to score many, many goals."
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