The 25-year-old made his debut for the Reds on Saturday in the 1-1 draw with Sunderland.
Liverpool have finished outside the top four for the last two seasons and are desperate to get back into the Champions League.
“We want to get back into the top four this season and if we could win the Premier League that would be fantastic, but we have to be realistic,” Enrique told Liverpool’s official website.
“A lot of teams have spent money and for me this league is the most competitive one in the world.
“Seven teams could finish in the top four but we want to be there and we will do everything we can to make that possible.”
