Liverpool have so far only brought in French centre-back Ibrahima Konate from RB Leipzig this summer window
In terms of outgoings, the Reds have sold Harry Wilson to recently relegated Fulham for £12.6m and Taiwo Awoniyi to Union Berlin for £5.8m among others.
Meanwhile, their rivals' transfer business has drawn greater attention.
Chelsea are reportedly close to completing the signing of Romelu Lukaku from Inter Milan for a club-record £97.5m fee.
Manchester United have spent big, with new transfer negotiator Matt Judge having worked hard to complete the long-awaited signing of Jadon Sancho from Borussia Dortmund for £72million.
The Red Devils also look set to add Real Madrid centre-back Raphael Varane to their ranks for the new campaign after reportedly agreeing a £42m deal with Los Blancos
Reigning Premier League champions Manchester City completed the signing of Jack Grealish this week for a Premier League record £100m and they're also being linked with a move for Tottenham striker and England captain Harry Kane.
But Fabinho is not concerned about the blockbuster deals done by his side's dreaded opponents and has great belief the present Liverpool squad can challenge in the upcoming season because of their previous achievements which he believes is proof of their ability.
The Liverpool midfielder told Goal: "This Liverpool squad has already won the Premier League, the Champions League… important trophies. We have already shown what we are capable of.
"We don't pay attention to the other teams. City are the Premier League champions and Chelsea the Champions League champions. The English teams are always strong and will always fight for trophies. This year won’t be different.
"We will be strong and they will be strong as well. Hopefully we will be a bit stronger."