The pair will become free agents at the end of this month.
Moreno has made 141 appearances for the Reds since he arrived from Sevilla in 2014.
#LFC thank @DanielSturridge and @lfc18alberto for their outstanding contributions to the club
Everyone wishes Daniel and Alberto all the very best for their futures. They will always be a part of the #LFC Family https://t.co/OH5oeNw4rR
— Liverpool FC (@LFC) June 4, 2019