The four-year veteran suffered the injury Friday night against the Rays when he collided with Sean Rodriguez at second base while trying to turn a double play. Rodriguez slid hard into the bag and made contact with Nix's knee, buckling his left leg under him.
The former first-round pick had X-rays on his leg after the game Friday, which came back negative. An MRI Saturday morning also found no structural damage to the ligaments in the knee.
Nix will fly down to Florida Sunday to begin rehabilitation. The 28-year-old will stay off the leg for at least seven days before beginning to resume baseball activities.
The Blue Jays did not want Nix to travel with the team on its 10-game road trip through Texas, New York and Tampa Bay because air travel can affect the injury.
"It's important to keep him off the leg as much as we can over the next several days," manager John Farrell said. "We feel like we somewhat dodged a bullet, but unfortunately we're going to miss him for the two weeks."
Utility player Mike McCoy was recalled from Triple-A Las Vegas to take Nix's spot in the lineup, and started Saturday afternoon at second base, batting ninth.