He has previously played for the Nashville Predators, Tampa Bay Lightning, Dallas Stars, Buffalo Sabres and Arizona Coyotes in the National Hockey League (NHL).

[6] Lindbäck played only 10 games in Dallas before being traded, along with a conditional third-round pick, to the Buffalo Sabres in exchange for fellow Swedish goaltender Jhonas Enroth.

[8] With the Sabres looking in a different direction for their goaltending options, Lindbäck signed a one-year contract as a free agent with the Arizona Coyotes on 1 July 2015.

On 25 October 2016, Lindbäck agreed to a try-out with the Ontario Reign of the AHL, in sight of the backup role with affiliate, the Los Angeles Kings.

Having returned to his native Sweden, Lindbäck agreed to a play in the top-flight SHL for the first time since 2010, signing a deal for the remainder of the 2016–17 season with Rögle BK on 14 December 2016.

Assuming the starting role, he collected 7 wins in 23 games with Rögle BK missing the playoffs to enter a relegation battle.

[16] On 4 October 2024, after not having played for nine months, Lindbäck signed a six-week contract with the Vienna Capitals in the multi-state ICEHL as a temporary replacement for injured goaltender Tyler Parks.

On 4 February 2025, Lindbäck signed with SHL club Färjestad BK to serve as the team's third-string goaltender for the remainder of the 2024-25 season.