Lindberg was drafted in the fourth round, 102nd overall by the Ottawa Senators in the 2013 NHL Entry Draft. He played junior in his native Sweden with Djurgårdens IF, before moving to North America to continue his career with the Oshawa Generals of the Ontario Hockey League. Lindberg was a member of the team that won the 2015 Memorial Cup, assisting on the game-winning goal, scored in overtime by teammate Anthony Cirelli. About to turn 20, Lindberg was not eligible to play in junior anymore, and thus signed his first professional contract with Ottawa on 16 June 2015, a three-year entry-level. Lindberg played the opening half of the 2015–16 AHL season with Ottawa's affiliate, the Binghamton Senators. After recording 22 points in 34 games with Binghamton, Lindberg was included in a blockbuster nine-player trade that saw himself, Jared Cowen, Colin Greening, Milan Michalek, a 2017 second-round draft pick moved to the Toronto Maple Leafs in exchange for Dion Phaneuf, Matt Frattin, Casey Bailey, Ryan Rupert and Cody Donaghey. Lindberg's AHL numbers up until the trade were considered impressive due to his rookie status and the Senators' position at the bottom of the standings. Lindberg joined the Toronto Marlies, who were at the top of the AHL and were favourites to win the 2016 Calder Cup. Lindberg was one of twelve Toronto rookies to make their NHL debut in the final quarter of the 2015–16 season as part of the Maple Leafsyouth movement. Lindberg was called up from the Marlies on 31 March 2016, and made his debut the same night in a 4–1 loss to the Buffalo Sabres, picking up an assist on the lone Toronto goal scored by teammate Brooks Laich. The following season would be spent entirely with the Marlies, where the forward scored 16 points in 44 contests. At the start of the 2017–18 season, on 6 October 2017, Lindberg was traded to the expansion Vegas Golden Knights, alongside a 2018 sixth-round draft choice in exchange for goaltender Calvin Pickard. He was assigned to the Chicago Wolves of the AHL. On 23 February 2018, Lindberg was traded from the Golden Knights to the Pittsburgh Penguins in exchange for Ryan Reaves. He was loaned by the Penguins to continue playing with the Wolves until the AHL season concluded. In the following 2018–19 season, Lindberg was assigned and reported to the Penguins' AHL affiliate, the Wilkes-Barre/Scranton Penguins. He contributed with 6 points in 15 games with Wilkes-Barre before on 5 December 2018, Lindberg and Stefan Elliott were traded to the Ottawa Senators in exchange for Ben Sexton and Macoy Erkamps. Both players were immediately assigned to the Senators' AHL affiliate, the Belleville Senators. Lindberg struggled to make an impact with Belleville, producing 6 points through 29 games. At the trade deadline, Lindberg was dealt again by the Senators when he was included in the trade of Mark Stone to be re-acquired by the Vegas Golden Knights, in exchange for Erik Brännström, Oscar Lindberg and a 2020 2nd round pick. He was assigned to continue in the AHL with the Chicago Wolves. In returning for a second stint with the Wolves, Lindberg helped the club reach the Calder Cup finals before falling to the Charlotte Checkers. He scored 2 goals in 13 playoff games. On June 25, 2019, Lindberg was not tendered a qualifying offer by the Golden Knights, allowing him to become a free agent.
