Kuyt failed to impress at Liverpool last season, but has been key for the Dutch at the World Cup finals in South Africa.
“I read somewhere that when Rafael Benítez picked a team at Liverpool, he wrote Kuyt’s name down first. That says everything,” Van Marwijk said.
“Every player has a period where things don’t work out and Liverpool had a very tough year, but Kuyt is extremely important for us.
“The way he plays shows his passion and enthusiasm, and it is catching.”