Major League Baseball, the Cardinals and Astros all issued statements Tuesday saying they have cooperated fully with the investigation, which started last year after some information was posted anonymously online.
According to ESPN legal analyst Lester Munson, the federal investigation is close to conclusion.
The Times reported Tuesday that the FBI and Justice Department officials have evidence that Cardinals officials -- who were not identified -- allegedly tapped into the Astros' database and had access to statistics, scouting reports and internal discussions about players, trades and other proprietary information.
"Major League Baseball has been aware of and has fully cooperated with the federal investigation into the illegal breach of the Astros' baseball operations database," the MLB statement said. "Once the investigative process has been completed by federal law enforcement officials, we will evaluate the next steps and will make decisions promptly."
The Astros and Cardinals added that they would not comment further as it's an ongoing federal investigation.