Under Jurgen Klopp, the Reds finished fourth in the Premier League last season, making their return to Champions League football yet failing to earn any silverware.
Yet their former skipper and now youth team coach Gerrard feels the club have laid the foundations for a stellar season next year.
"We have got a fantastic manager at the helm. I think Liverpool are very, very close," Gerrard told BT Sport.
"If you look at the statistics in the top six, they are the best team in terms of head-to-head.
"Liverpool know where they need to improve and it is the consistency against the teams that are maybe in the bottom half of the table, the teams that sit narrow and compact and are difficult to break down.
"Hopefully we can get the two or three pieces of the jigsaw that are missing. I am really confident Liverpool can keep moving forward and success can be just round the corner."
Liverpool take on Watford in their first league fixture of the season on 12 August.