Gerrard confirmed on Friday that he will leave Liverpool after 17 professional seasons with the Merseyside club, with MLS considered the most likely destination for the 34-year-old.
The captain should leave Liverpool with over 700 senior appearances to his name - he currently has 695 - and over 500 games in the Premier League, with just six left to achieve the latter milestone.
Suarez played alongside Gerrard at Liverpool for three-and-a-half seasons, before joining Barcelona ahead of this campaign, and considers the English midfielder a friend.
"With you I have lived one of the best moments of my career in a stadium [Anfield]," Suarez wrote on Twitter.
"I am proud to say I played with a legend like you.
"I admire everything you have done during the years in Liverpool MY FRIEND. I wish you the best of the best!!"
Together, Suarez and Gerrard helped Liverpool win the 2011-12 English League Cup, although they never won the Premier League title - going closest last term when they missed out by two points to Manchester City.
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