The Reds are currently in second place after an impressive start to the season, winning four of their first six top-flight games, including a 3-1 victory over Crystal Palace on Saturday.
Invariably, there has been murmurings of Liverpool mounting a serious title challenge with Chelsea, Manchester City and United all struggling to hit top form with new managers at the helm.
But Jones, who was part of the Reds side which challenged for the top positions between 1995 and 1997, reckons a top-four finish should still be the primary target despite a good start.
“I think top four should be the aim – and maybe see if we’re up there [at the top] around Christmas time,” Jones told The Sport Review.
“At the moment, we don’t want to get too carried away. It’s been a long time since we’ve won the league.”
The former Reds right-back added: “Nowadays, you look for a top-four finish. In my day, if you finished fourth, it was a disaster.
“Now, if you can get into the Champions League, it’s a good result. Top four is good but let’s see where we stand after Christmas.”
Jones, who played for the Reds between 1991 and 1999, has recently returned to Liverpool alongside Robbie Fowler and Steve McManaman in part-time coaching roles.
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