Six of those seven people have no symptoms, Aaron Boone said Wednesday.
The two-dose vaccines used in the United States, from Pfizer / BioNTech and Moderna, are both about 95% effective against Covid-19.
On Tuesday, the Yankees said third baseman Phil Nevin tested positive.
Out of caution, shortstop Gleyber Torres did not play in Wednesday’s game as he awaited the Covid-19 test results, Boone said. Torres had coronavirus in December and was vaccinated, the director said.
The Yankees played under relaxed health and safety protocols after hitting an 85% MLB-recommended threshold for team members vaccinated at the end of April.
CNN has reached out to the New York State Department of Health for comment.
The Yankees are currently in Tampa, Florida for their final game of their series against the Tampa Bay Rays.
They are due to travel to Baltimore ahead of their series against the Orioles on Friday.