The Uruguay international has scored 23 Barclays Premier League goals this campaign but none have come in matches against Arsenal, Chelsea or Manchester City - the three sides above them in the table.
Sixteen of his goals have come at Anfield and with those sides all yet to visit, starting with the Gunners on Saturday, he has chance to rectify the situation.
"I think he has made an impact; he may just not have scored but he certainly scored in those games last season," said Rodgers.
"He makes a great contribution to the team but the onus is not always on Luis to score the goals, it is the team.
"As long as he does his best and works hard I'll have no complaints with that."
For breaking stories and all the great banter like us on Facebook: facebook.com/tribalfootball