"We are looking into the nature and context of what is on the video," the team said in a statement.
The video was posted on Instagram but has since been taken down.
Sources told ESPN's Jordan Raanan that team discipline is unlikely. The NFL, however, could choose to discipline them.
The two Giants had dinner with some teammates, including receiver Sterling Shepard, and friends in a private room at a restaurant in New York on Friday night, a source said. Afterward, they were invited to have a drink at a bar that is closed to the public. A video of Jones sharing a drink with a woman was taken at the Manhattan bar, a source said.
Earlier this season, the NFL fined 10 Las Vegas Raiders players, including tight end Darren Waller and quarterback Derek Carr, for breaking coronavirus protocols at a public charity event hosted by Waller's foundation.