Diaz missed Sunday's 3-0 home win over Nottingham Forest and the team dedicated the victory to him with Diogo Jota hoisting the forward's No.
"We miss Thiago I have to say, I miss him a lot," said Lijnders.
"We really miss him, but he will take time.
Liverpool have won a record nine League Cups, but lost to Manchester City in the fourth round last season.
Klopp's squad are fourth in the Premier League on 23 points after 10 games, three points behind leaders Tottenham Hotspur.
Persons:
Liverpool's Thiago Alcantara, Phil Noble, Thiago Alcantara, Pep Lijnders, Luis Diaz, Diaz, Sunday's, Diogo Jota, Diaz's, Lucho, Lijnders, Thiago, Liverpool's, Stefan Bajcetic, Curtis Jones, Curtis, Lori Ewing, Ken Ferris
Organizations:
Soccer Football, Premier League, Liverpool, Nottingham Forest, REUTERS, Rights, Wednesday's League, Bournemouth, Saturday, Manchester City, Leicester City, Stoke City, Tottenham Hotspur, Thomson
Locations:
Anfield, Liverpool, Britain, Rights LIVERPOOL, England, Colombia