The Spanish left-back, who hopes to complete the transfer after his medical yesterday, said: "My move is purely dependent on the sporting opportunity - not money.
"I want to fight for titles and I think it more possible to do that with Liverpool than Newcastle."
In January, the Spaniard was fined two weeks' wages for criticising Newcastle's transfer policy on Twitter in the wake of Andy Carroll's £35m departure to Anfield.
Enrique, who turned down £50,000 a week to extend his Toon contract, added: "I prefer not to comment further on that. But Newcastle did promise to solve my situation before the season and this has happened."