The Reds secured a return to the Champions League in their first full season under Klopp after Liverpool finished in fourth place ahead of Arsenal.
The Merseyside outfit have made three signings in the summer transfer window so far as the German head coach looks to cope in four competitions next term.
Liverpool’s most-expensive signing so far Mohamed Salah arrived in a £39m deal from Serie A giants AS Roma.
Klopp has also recruited England Under-20 international Dominic Solanke from champions Chelsea and Hull City left-back Andy Robertson.
Birmingham City boss Redknapp believes Liverpool are well-placed to finish in the top four again next term.
“Jurgen Klopp will believe that he can take Liverpool further and higher than last season’s fourth-place finish and with that crowd at Anfield behind them, it could just happen for them,” Redknapp told The Sun.
Klopp was appointed as Brendan Rodgers’ successor in 2015 following Liverpool’s slow start to the season.
The Reds boss led the 18-time English champions to an eighth-place finish in 2015-16 before securing a top-four spot last term.
Liverpool have reached the EFL Cup and Europa League finals under Klopp but lost both games to Manchester City and Sevilla.
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