Only 24 seconds remained when Persson scored the winning goal with a numerical advantage.
"Incredibly nice win. We have a lot of faith in this team and never give up," Persson told TV4 Play after his 18th goal of the season.
Malmö's long away tour is due to the European Handball Championship at Malmö Arena. After two initial losses, the fifth-placed team has won three straight.
One away match remains, Luleå on Thursday, before the team returns home for a meeting with Djurgården on Saturday.
Timrå suffered something of a hangover after their big win over Färjestad, 8–2, on Saturday. The team remains in seventh place.
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