The Reds currently sit seventh on the Premier League table, nine points behind fourth-placed Tottenham, and the skipper is remaining confident as the Anfield club push for a top-four finish following the 2-2 draw with reigning champions Manchester City on Sunday.
"It's certainly up there with our best performance of the season," Gerrard said.
"We need to build on this and I'm feeling really confident about our ability to move up the table.
"We might not have got the results we wanted against the top sides but every time we have certainly matched them if not bettered them in games.
"We just need to try to cut out our mistakes and turn those draws into wins.
"No disrespect to the sides we've got coming up but if we keep playing like that then we can certainly put in a challenge for fourth place.
"If we perform like that we will pick up a lot of points between now and the end of the season."