The Reds face Utrecht in the Europa League on Wednesday.
Kuyt spent five years with Utrecht before joining Feyenoord.
“I am a player who always wants to be involved in every game and if the manager needs me I will be there for him on Wednesday,” Kuyt told Liverpool’s official site.
“I have missed a few games through injury this season and I hope I can feature against my former club.
“We play a lot of games in a season and obviously you can’t play in every game but it would be nice to play against Utrecht at Anfield.
“We have done really well in the Europa League and it would be nice to finish the group stages with a good performance at home.
“I had some good times at Utrecht and a lot of people are still there at the club who I am good friends with.”