If they really want to keep him they can keep him by giving him a good contract.
here's the current payroll https://www.basketball-reference.com/contracts/UTA.html (not sure if its updated).
based on the payroll we are seeing that Mitchell and Clarkson are still not getting max contract but they will soon as conley will be free agent in 2021.
https://www.spotrac.com/nba/utah-jazz/mike-conley-2532/
Thank you for that valuable information, I can remember that Conley was one of the biggest contract the during the year he sign it.
this news was published last July 1, 2016 so his contract will expire next year of the same month and I don't think jazz would still sign him with a max contract knowing he is prone to injury and his contribution to the team has lowered down, they'll give that to the young and improving players like Clarkson and Mitchell.