Premier League top scorer Vardy lasted 43 minutes of Leicester's 4-1 victory at the King Power Stadium before coming off in pain.
Fears that his problem could be hamstring-related were dispelled by manager Rodgers, however, meaning Vardy may soon be back in action.
"He just felt a twinge in his glute, so we'll just have to wait and see on that over the next day or so," Rodgers said in his post-match news conference.
"Thankfully, he said his hamstring was fine, he just felt the pain on his glute, so we'll assess that over the next couple of days."
Vardy has scored 17 goals for Leicester in the English top flight this season, helping it to reach third place, three points behind second-placed champion Manchester City.
Leicester's next match is an FA Cup fourth-round trip to Brentford on Saturday.
It faces Aston Villa in the second leg of its Carabao Cup semi-final next Wednesday (AEDT), before returning to Premier League duty on 2 February when Chelsea visits the King Power Stadium.