The young midfielder spent last season on loan at Spanish club Almeria but has now returned to Merseyside and has outlined his intention to make his mark at Anfield
The 20-year-old Spaniard spent last term in his homeland, making 33 appearances as the La Liga side avoided relegation.
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"After the season in Spain, I think I have become a better player - I learned a lot," the playmaker told Liverpool's official website.
"Obviously Liverpool are going to sign a lot of players because we are in the Champions League this season, and we have to have a good squad because there are a lot of competitions.
"But if I fight for my place, I do my best every day in training and when I have the chance to come on or start a game, if I do well, I could have chances to play a lot of minutes in the first team."
Suso made his breakthrough at Liverpool as a teenager in 2012-13, as he made 14 top-flight appearances in Brendan Rodgers' first season in charge.
And the Spain Under-21 international says that he has held positive talks with Rodgers about his prospects with the Premier League runners-up.
"I came here in December at Christmas when I had my week of holidays....I came here for two or three days to have a meeting with the manager," Suso added.
"He talked to me, said he was happy with what I was doing and said that this season he wants me to stay here.
"I want to stay here and sign a new deal - for me, there is no bigger club than Liverpool."