The winger, who has informed the club of his desire to leave and not take part in next week's preseason tour, has failed to report for duty for the second consecutive day.
Raheem Sterling was absent from Liverpool training for a second day after calling in sick again.
The winger, who does not want to take part in the preseason tour of Australia and Asia, is a target for Manchester City after informing Brendan Rodgers of his desire to leave Anfield this summer.
With the Liverpool squad due back for preparations ahead of the new campaign on Wednesday, Sterling informed the club he was unable to attend due to illness and repeated that claim on Thursday morning.