The Hasselborg rink won the first event of the 2020–21 season, defeating Raphaela Keiser in the final of the 2020 Women's Masters Basel.[10] Next, they played Team Wranå in the Sweden National Challenge in December 2020, where they lost 17–12.[11] A "curling bubble" was set up in Calgary, Canada in the spring, which hosted several events, including the 2021 World Women's Curling Championship and two slams.[12] Team Hasselborg competed in both the 2021 Champions Cup and the 2021 Players' Championship, finishing 0–4 at the Champions Cup and reaching the semifinals of the Players'. The following week, the team represented Sweden at the Worlds. They finished third through the round robin with a 10–3 record, qualifying them for the playoffs. After defeating Canada's Kerri Einarson 8–3 in the qualification round, they lost a narrow 8–7 semifinal against the RCF, skipped by Alina Kovaleva. This put them in the bronze medal game, which they lost 9–5 to the Tabitha Peterson rink of the United States.[13] On June 4, 2021, Team Hasselborg was selected as the Olympic Team for the 2022 Winter Olympics.[14]
Team Hasselborg began the 2021–22 season competing in the men's Baden Masters tour event, where they missed the playoffs. At the 2021 Women's Masters Basel, the team made it all the way to the final, where they lost to Denmark's Madeleine Dupont.[15] Next, they played in the 2021 Masters Grand Slam event, where they again missed the playoffs. They were able to rebound at the 2021 National, however, claiming the title with a 9–6 victory over Tracy Fleury in the final game.[16] In November, Team Hasselborg again represented Sweden at the 2021 European Curling Championships where they finished third in the round robin with a 7–2 record. They then defeated Russia's Alina Kovaleva in the semifinal before dropping the final to Scotland's Eve Muirhead, settling for silver.[17] The next event for Team Hasselborg was the 2022 Winter Olympics, where they attempted to defend their gold medal from 2018. The team placed second after the round robin preliminary stage with a 7–2 record. This earned them a semifinal berth where they would face Great Britain's Muirhead rink. In one of the highest-scoring games in curling, Muirhead scored a single point in the extra end to win 12–11, ending Hasselborg's chances of repeating as Olympic gold medallists. They did still earn a medal from the Games, however, as they were able to beat Switzerland's Silvana Tirinzoni rink 9–7 in the bronze medal game.[18] Next for the Swedish rink was the 2022 World Women's Curling Championship, where they finished fourth in the round robin with a 9–3 record. They then defeated the United States Cory Christensen in the qualification game before dropping the semifinal and bronze medal games to Switzerland and Canada, respectively, placing fourth.[19] Team Hasselborg wrapped up their season at the final two Slams of the season, the 2022 Players' Championship and the 2022 Champions Cup. At the Players', the team began with two straight losses before rattling off six straight victories to claim the event title. With the victory, Team Hasselborg became the first women's team to win a career Grand Slam (winning all four 'majors').[20] At the Champions Cup, they went undefeated up until the semifinal round where they were eliminated by Kerri Einarson.
In their first event of the 2022–23 season, Team Hasselborg won the 2022 Oslo Cup. After a 4–1 round robin record, the team knocked off Isabella Wranå in the semifinal and the newly formed Kaitlyn Lawes rink in the championship game.[21] Next for the team was the European Qualifier best-of-seven series between them and Team Wranå. Team Hasselborg won the series 4–1, becoming the Swedish team for the 2022 European Curling Championships.[22] In their first Slam of the season, the 2022 National, the team missed the playoffs with a 1–3 record, meaning they would not have the chance to repeat as champions for a third year in a row.[23] They were able to qualify at the next Slam, the 2022 Tour Challenge, where they fell in the quarterfinals to Kerri Einarson.[24] Back at home, the team claimed their second event title of the season after going undefeated to win the Sundbyberg Open. They played with three players, with Sara McManus out on maternity leave.[25] At the European Championship, the team's alternate Johanna Heldin stepped in at lead, shifting Mabergs to second and Knochenhauer to third. The team went 5–4 through the round robin, missing the playoffs for the first time since 2015.[26] Back on the Slam tour, Team Hasselborg lost 5–2 to Rachel Homan in the quarterfinals of the 2022 Masters.[27] They also lost in the quarterfinals of the 2023 Canadian Open, 8–7 to Satsuki Fujisawa.[28] In February, the team won the Swedish Women's Curling Championship and the Swedish World Qualifier over Team Wranå, qualifying for the World Championship.[29] In their final event before the Worlds, the team lost in the final of the Sun City Cup to Marianne Rørvik.[30] At the 2023 World Women's Curling Championship, which was held in Sandviken, the team finished fifth through the round robin with a 7–5 record, enough to make the playoffs.[31] After defeating Italy in the qualification game, they once again lost both the semifinal and the bronze medal game to Switzerland and Canada to finish fourth.[32] The team finished their season at the 2023 Players' Championship and the 2023 Champions Cup. After missing the playoffs at the Players', the team made it to the quarterfinals of the Champions Cup where they lost 7–6 to Team Homan.[33] Knochenhauer threw third rocks and skipped the team during the Champions Cup, with Hasselborg on maternity leave.[34]
Back together for the 2023–24 season, Team Hasselborg defended their title at the 2023 Oslo Cup, stealing the victory against Marianne Rørvik.[35] They then made a second straight final at the 2023 Women's Masters Basel before falling short to Silvana Tirinzoni.[36] At the best-of-seven European qualifier against Isabella Wranå, the team lost the series 4–2, meaning they would not represent Sweden for the first time since 2015.[37] Back on tour, the team rebounded immediately by winning the 2023 Players Open, downing Team Wranå in the final.[38] At the first Slam of the season, the 2023 Tour Challenge, the team went unbeaten until the semifinals where they were stopped by Jennifer Jones.[39] They also reached the semifinals of the 2023 National before losing to Rachel Homan.[40] After missing the playoffs at the 2023 Western Showdown, the team had back-to-back quarterfinal finishes at the 2023 Masters and the 2024 Canadian Open, losing out to Team Jones on both occasions.[41] Days before the 2024 Swedish Women's Championship, Team Hasselborg was appointed to represent Sweden at the 2024 World Women's Curling Championship as they had accumulated more points than Team Wranå throughout the first part of the season.[42] Still, the team went on to win the Swedish Championship. At the Worlds, Team Hasselborg started with three consecutive losses before turning things around, finishing the round robin in fifth place with a 7–5 record.[43] They then lost to Korea's Gim Eun-ji in the qualification round, eliminating them from medal contention. The Hasselborg rink ended their season at the 2024 Players' Championship where after a 3–2 round robin record they lost in the quarterfinals to Gim.[44]