The defender is on-loan with the Bluebirds.
Rodgers admitted that his loan spell is not going ideally but did not suggest he would be recalled.
“There's been none as of yet," said Rodgers when asked if there were any short-term plans for Benkovic.
“The whole idea was for him to play but I'm also a manager and if a player for whatever reason isn't performing in games or training, and isn't worthy of playing… I know the business we're in.
“So he's obviously not played as much as he would like but he's got to get his head down and keep working and if he gets the opportunity to play over this busy period, hopefully he can win the trust of the manager and play more games."
Rodgers continued: “He needs to play games and at the minute he's not playing at Leicester and now he's not playing at Cardiff.
“It's something where we need to get Filip playing. He needs to get working again and show the level he can play at.
“Thankfully for myself, I've seen the level. When he was with me at Celtic he played against RB Leipzig and he was sensational. Really since that first 10 games at Celtic, he hasn't maintained a level of fitness and performance that I know he can.
“Hopefully for him he can get playing again and if it's not going to be at Cardiff in the longer term, then we'll look at it from there."