Despite the possibility of winning two cups, the Reds currently sit eighth in the table following a poor showing in the Premier League.
However, Suarez believes that a positive reaction can only help the Merseysiders.
"You are bound to enjoy picking up trophies and medals, of course you are, but you learn most about one another during a bad patch – you learn how to stick together even more," he said.
"No team has success after success. All clubs, teams and players go through good runs and bad runs. That is football.
"Even the very best of all time have bad periods, but it is how they react that defines them."
Liverpool next host West Bromwich Albion at Anfield in the league on Sunday.