The Reds' skipper went off with a hamstring problem in their 4-1 win against West Ham United on Saturday.
"We just need to assess that in the next day or so," the Northern Irishman told reporters.
"It was definitely his hamstring. Hopefully it's just a strain and we'll see where we're at in the next 48 hours."
The win moves Rodgers's men up to second in the Premier League.