The Bears play in the NFC North and open the season against the Green Bay Packers on Monday.
Lasike attended Northland College and Church College before playing rugby at Brigham Young University in Utah, eventually being picked up by the college football team.
He was unselected in the 2015 NFL draft before catching on with the Cardinals as an undrafted free agent.
Last week, Lasike told Radio Sport he was surprised to have made it this far.
"It's crazy to think how far I've come, and that I've been able to make it down to the last wire."
"I'm trying to keep the faith high, but it's going to be hard."
Lasike said it "was hard to think I'm not going to get cut."