The former Smallville star will make his debut on the Syfy drama in tonight's third season premiere.
Ashmore told Multipleverses: "I think that there's some stuff in episode two [of the new season] and then a little bit farther [on]. You really start to see who Steve is and you get a little bit of his backstory and you really see how his life has kind of impacted who he is."
Ashmore added that Jinks is "very different" to the other characters on Warehouse 13.
"He is more reserved and he's got these walls up," he said. "I think that [showrunner] Jack [Kenny] and the writers have done a great job of... just putting in these little... nuggets of character throughout particular episodes."
He continued: "People will find it really interesting to see how Steve's character develops."
Ashmore previously admitted that he had "been online a little bit" to measure the reaction of Warehouse 13 fans to Steve's arrival.
"I could really stress about it, or I can do my thing and trust in the writers and the producers that they know the fanbase," he said.
Warehouse 13 returns to Syfy tonight at 9/8c.
> Warehouse 13 star: 'New season has more mythology'
Watch a preview clip from the Warehouse 13 season premiere - featuring Aaron Ashmore - below: