After having fought until the trade deadline to acquire Memphis Grizzlies point guard Mike Conley, the Utah Jazz could continue the pursuit of the lefty floor general once again in June, according to Kevin O'Connor of The Ringer.

The Grizzlies may be more inclined to keep Conley if they get lucky and land the No. 1 pick, which would give them a Zion Williamson-Jaren Jackson Jr. frontcourt of the future. But if that doesn't happen, expect to see the veteran point guard on the block.

Conley has continued to play well, even this deep into March after having scored 20 or more in each of the last five games, including a 40-point bomb against the Portland Trail Blazers. While his stock can't get much of an uptick at his age (31), he has been able to maintain it with recent performances, putting up a sturdy 20.7 points, 3.4 rebounds and 6.4 assists per game this season.

Any injury concerns for the Ohio State product should also be a wash by now, as he has bounced back from a 12-game season to play in 66 of the Grizzlies' 70 games thus far — a more-than-solid record after missing most of the 2017-18 season with a left heel injury.

The Jazz aren't particularly fond of Ricky Rubio as the long-term point man of this team, as most of the playmaking duties have ultimately fallen to second-year star Donovan Mitchell. The front office is looking at someone capable of scoring the ball and playing off it as well, making Conley a relative shoo-in to take that starting spot next to Mitchell if the Jazz can agree on a trade.

As it is now, Utah is seventh in the West and hanging onto that position by its fingernails. A healthy Conley could help the Jazz become a more serious contender next season.