Gavrikov (6-foot-3, 205 pounds) had 20 points (five goals, 15 assists) in 60 games this season for SKA St. Petersburg of the Kontinental Hockey League, and has 49 points (16 goals, 33 assists) in 222 KHL games and 12 points (four goals, eight assists) in 57 KHL playoff games.
He helped the Olympic Athletes of Russia win the gold medal at the 2018 PyeongChang Olympics and also played for Russia at the IIHF World Championship in 2017 and 2018.
"Playing for Russia, it's the biggest games for me," Gavrikov said. "It always helps [with experience]."
Tortorella said he has relied on Blue Jackets general manager Jarmo Kekalainen for a scouting report on Gavrikov.
"I trust Jarmo as far as the information he gives me on a player," Tortorella said. "This guy can play. We know he can play."
Gavrikov practiced with the Blue Jackets for the first time Saturday and played in a scrimmage Monday.
"I have no idea when he comes into play, if he does," Tortorella said. "He's only been on the ice twice with us. You can certainly see he has a nice awareness as a defenseman in our scrimmage. He has some bite to him that he couldn't show in a scrimmage game playing against his teammates."
Gavrikov did not practice Tuesday to take care of immigration matters that Tortorella said shouldn't affect his status for Game 1.
Tortorella is not afraid to use players with little or no NHL experience in the playoffs. France-born Alexandre Texier, a 19-year-old forward, came from Liiga, the top league in Finland, and played seven games with Cleveland of the American Hockey League before playing in the Blue Jackets' final two regular-season games and all four games against the Lightning; he had three points (two goals, one assist) against Tampa Bay.