Jordan, who joins from the 2021 FOSROC Super6 champions Ayrshire Bulls, has had previous involvement with Warriors, having trained with the Scotstoun club during the 2020/21 season.
Equally adept at centre as he is at fly-half, he linked up with his new team-mates after an impressive campaign in the FOSROC Super6.
His tally of 49 points from nine appearances was the fourth-highest in the competition, with only two players having beaten more defenders than the 26 passed by Jordan over the course of the season.
Defensively, too, the fly-half made an impressive contribution, with eight turnovers in the pink and black of Ayrshire Bulls.
Jordan's campaign culminated in being named Player of the Match for his performance in the 2021 FOSROC Super6 final, contributing 16 points from the boot to the Bulls' 26-16 victory over Southern Knights.
The move sees Jordan, who hails from Auckland, New Zealand, join the likes of fellow backs and former Bulls Ross Thompson and Ollie Smith in making the switch to professional rugby in the last 12 months.