The 34-year-old has become a free agent after his contract with Turkish side Fenerbahce expired at the end of the season.
Gerrard has already held preliminary talks with the defender, reports the Daily Record, which are said to have been positive.
They report that Skrtel is now preparing to travel to Glasgow to have face-to-face discussions in the next few days.
This is not the first time Gerrard has
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