Liverpool are thought to have contacted Ajax coach Frank de Boer over the managerial vacancy at Anfield.
The Reds are continuing their search for a new boss after Kenny Dalglish was sacked on Wednesday evening after only 16 months in charge.
Anfield chiefs have now made an approach for the former Netherlands international, according to The Sun.
However, the 42-year-old has asked for time to consider his future.
It was confirmed earlier this week that the Merseysiders will be allowed to hold talks with Wigan Athletic's Roberto Martinez over the position.