Suarez's strike in the 5-0 win over Swansea at Anfield took his tally to 18 league goals for the campaign and the Uruguay international is currently the division's second-highest scorer.
Only Manchester United striker Robin van Persie - on 19 goals - is ahead of Suarez at this point in the Golden Boot standings and Sturridge plans to do everything he can to boost his team-mate's chances of reaching the number one spot by the end of 2012-13.
Asked if he thought Suarez could claim the award this term, Sturridge told liverpoolfc.com: "I don't see why not. There are 11 games left for us so I'm sure he can. I'll try to help him get there and give him opportunities.
"It's always good to get individual glories as a player because they're the things you can look back on at the end of your career and tell your grandchildren you were top scorer for that season. "I'm sure he'll be gunning for that and I'll try to help him get there."
After Suarez's effort made it 4-0 on Sunday, Sturridge netted Liverpool's fifth with a penalty, leaving the England forward's record since joining the Reds from Chelsea in January showing five goals in seven appearances in all competitions.
The other scorers for the Reds, who moved up to seventh place with the win, were Steven Gerrard with another spot-kick, Philippe Coutinho and Jose Enrique.