Loovens left Cardiff for Celtic two years ago, but he has struggled to hold down a regular place in the Celtic first team due to form and fitness.
Jones is a big admirer of Loovens and he has explored the idea of bringing the Dutchman back to Wales on a loan deal.
"Glenn is a player I would like to bring back to Cardiff City," Jones is quoted as saying in the Daily Record.
"Getting him is definitely something I would hope to do. But it depends entirely on Celtic and how they see Glenn's future."