He admitted part of what lured him to Anfield was the attraction of being the man to end their long wait for a title, which was last lifted by his predecessor Kenny Dalglish during his first spell in charge in 1990.
"It's the frustration. It has been over 20 years since they won the title," said the Northern Irishman.
"The realism is we might not be ready for the title but the process begins now.
"It's a new cycle and that is something that we will work towards in the years to come. We hope over time it improves. I have come here hoping Liverpool will be a destination.
"This is a club that if you can have success and improve the team then hopefully you can be here for many years."