Mathieu, drafted by Arizona in the third round of April's draft, signed a four-year deal that includes a fully guaranteed signing bonus worth $662,500, league sources told ESPN's Ed Werder.
Mathieu will only receive $265,000 upfront and will receive the rest of the money in the way of annual roster bonuses, a source told ESPN NFL Insider Adam Schefter.
In addition to the $265,000, Mathieu will receive conditional roster bonuses of $99,000 in 2013 and $102,000 in 2014, and a salary guarantee of $196,000 in 2014, the source told Schefter.
If Mathieu is cut by the team for performance reasons in the first two seasons, he will receive the full sum. However, if Mathieu is suspended for drug violations he will not get all of the money, according to sources.
In addition, because Mahtieu's drug offenses have occurred in his native Louisiana, the team-offered workout bonuses are designed to force him to remain at their headquarters throughout the offseason, a source told Ed Werder.
The Cardinals took a bit of a risk in drafting the troubled but talented cornerback out of LSU with the No. 69 pick.
In two seasons at LSU, Mathieu, nicknamed the Honey Badger, recovered eight fumbles, returning two for touchdowns, forced 11 fumbles, made four interceptions and 133 tackles, and had six sacks. He returned two punts for score.
A Heisman Trophy finalist in 2011, Mathieu was kicked off the team by LSU coach Les Miles in preseason camp last August for failing multiple drug tests.
Mathieu, who didn't play in 2012, was arrested less than two months later with three former teammates after police found 10 bags of marijuana and drug paraphernalia in his Baton Rouge apartment.
Mathieu spent two weeks in a drug treatment program run by former NBA player John Lucas and the months leading up the draft trying to rehabilitate his image. He spent some of that time with Patrick Peterson -- his former teammate at LSU and new teammate in Arizona -- who vouched for his friend to the Cardinals' front office and coaching staff before they picked him in the draft.
The contract as structured does provide annual incentives to Mathieu if he performs and avoids off-field issues. Those are in the form of annual guaranteed roster bonuses paid if he is on the team on specified dates, the source said.
Agent Patrick Lawlor, who also represents Cardinals cornerback Patrick Peterson, would not confirm specific contract terms. He does believe the agreement is reasonable.
"The deal is structured so that if Tyrann performs as we expect and has no problems, then he will be rightfully paid the entire value of the contract," Lawlor told Werder.
Information from ESPN's Ed Werder, ESPN NFL Insider Adam Schefter and The Associated Press contributed to this report.