Floyd signed a one-year deal with the Vikes in free agency.
Starting in February, Floyd served a 24-day sentence at a Scottsdale, Arizona, jail after pleading guilty to one charge of second-offense extreme DUI, per ESPN.com's Josh Weinfuss.
In June, Floyd was sentenced to one day in jail for violating the terms of his probation, according to Robert Gundran of USA Today.
Floyd tested positive for alcohol as part of a court-ordered test, but he said it was due only to drinking kombucha teas.
The Vikings accepted his explanation, but head coach Mike Zimmer made it clear that he won't have any tolerance for lying, per Brian Murphy of the Pioneer Press:
"Do I believe it? I don't know how much tea he drank. I have no clue. I don't have any doubt why there'd be skepticism, but he told me that he wasn't [drinking]. That it was legit. ... I said, 'If I find out you're lying to me, I'm going to cut you.'"
The 27-year-old Floyd was selected with the No. 13 overall pick in the 2012 NFL draft out of Notre Dame by Arizona.
He has one 1,000-yard season to his credit, and is coming off a career-worst 2016 campaign that saw him register 37 receptions for 488 yards and five touchdowns in 15 games split between the Cards and Pats.
With Floyd out of action, Minnesota's primary receiving threats for the first three games are likely to be Stefon Diggs, Adam Thielen and second-year man Laquon Treadwell.