Commons was named as the SPFL's Player of the Year last season, and as the former Scottish international enters the final year of his current deal, Deila has admitted that he wants to see the 30-year-old extend his stay at Celtic Park.
The 38-year-old told the Daily Record: "Of course we want to keep Kris longer. He is the kind of guy that we want to stay at the club, but of course everything has its price.
"He is a fantastic player and I hope that he can develop further and have a season similar to the last one."
"Kris will have a very important impact on the team and in the games that we play."
The former Derby County player has scored 50 goals in 99 appearances for Celtic.