Lindback, a native of Gavle, Sweden, was selected by the Nashville Predators in the seventh round (No. 207) of the 2008 NHL Draft.
He spent one season with Timra in the Swedish Hockey League before coming to North America in 2010-11. Lindback made his NHL debut on Oct. 9, 2010, in relief of Pekka Rinne, then got his first NHL win four days later, making 23 saves in a 3-2 victory against the Chicago Blackhawks. His first NHL shutout came Dec. 13, 2010, against the Florida Panthers, and shut out the New York Islanders two days later. Lindback finished his rookie season 11-5-2 with a 2.60 goals-against average, .915 save percentage and two shutouts in 22 games (18 starts).