The Barcelona star is keen to see his former club finish in the top four and secure their place at Europe鈥檚 top table for only the second time since 2009.
Suarez, who scored 82 goals in 133 appearances for the Reds, never got the chance to represent them in the Champions League, leaving for Barcelona having helped Brendan Rodgers ?side qualify in 2014.
But speaking ahead of Barcelona鈥檚 quarter-final clash with Juventus on Tuesday evening, the Uruguayan striker couldn鈥檛 help but cast his eye back to Anfield.
鈥淟iverpool look like they are in a good position to qualify for the Champions League - and hopefully they will be back where they belong next season,?Suarez said.
鈥淭hey will always be a special club to me - and I know what playing in this competition means to the players and fans.?/p>
Barcelona travel to Turin for their first-leg clash this evening on the back of one of the greatest results in Champions League history, having overcome a 4-0 deficit to see off Paris Saint-Germain in the last 16.
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But Suarez insists that that will count to nothing against a Juventus side that looks certain to record a sixth straight Serie A title.
鈥淭he game against PSG was special - but it is in the past now,?Suarez added.
鈥淲e knew that we had the ability to create a miracle - and we made history that night.
鈥淚t does give you confidence when you have performances like that - but every test in the Champions League is a big one - and there are not many bigger tests than Juventus.
鈥淭hey are one of the best teams in Europe, they are playing very well in Italy, and have some special players - but we know that we just have to concentrate on ourselves.
鈥淥ne of the big reasons I joined Barcelona was to win the Champions League - I have done it once and now I want to do it again.?/p>