With the additions of Stewart Downing, Luis Suarez and Andy Carroll over the last 12 months, the Dutchman has faced more time on the sidelines than previous seasons.
During the League Cup success against Cardiff City on Sunday, the 31-year-old had to wait until the 103rd minute to feature, before putting Liverpool ahead and scoring in the penalty shootout.
"It's not that easy [sitting on the bench],” Kuyt told De Telegraaf. “I am a player who loves to play many games. I prefer to do that for Liverpool, if that's possible.
"It was disappointing that I had to wait so long to come on the pitch. The manager brought me in the extra time."
Despite moving to Anfield in 2006, Sunday’s triumph at Wembley marked the first time Kuyt has claimed silverware with the club.
He added: "Wembley was a great experience for me and I will return there on Wednesday.
"It's my second big trophy. It was about time, because my last prize was in 2003 with FC Utrecht [KNVB Beker].
"I went to England to win prizes, but it always went wrong at the last moment. Until Sunday."