According to Mike Fisher of 247Sports, Garrett said, "We do anticipate him being here going forward."
The team previously said that Irving didn't practice at OTAs because he was not in "football condition."
Fisher noted that Irving's ex-girlfriend alleged he assaulted her in April; however, no charges were brought against him. He later was awarded full custody of their five-year-old daughter.
Irving had a career year in 2017 despite missing eight games. Four of the games he missed were as a result of violating the NFL's policy against performance-enhancing drugs.
The 24-year-old primarily played defensive tackle and finished the campaign with 22 tackles and 7.0 sacks.
In 35 career regular-season games, the 2015 undrafted free agent out of Iowa State has accumulated 52 tackles, 11.5 sacks and five forced fumbles.
He is expected to start at defensive tackle for the Cowboys in 2018 alongside Maliek Collins.