DETROIT  — Randy Dobnak allowed one hit in six sparkling innings, and Luis Arraez and Eddie Rosario homered to lead Minnesota to a 5-1 win over Detroit that put the Twins on the cusp of an AL Central title Wednesday night.

With the victory, Minnesota clinched at least a tie for the division — and the Twins had a chance to wrap up the title outright if Cleveland lost to the Chicago White Sox later Wednesday.

Dobnak (2-1) allowed no scoring after an unearned run in the first. Arraez hit a two-run homer in the seventh off Drew VerHagen (4-3), who had combined with Daniel Norris to shut out the Twins until then. Nelson Cruz added an RBI single in the eighth, and Rosario’s two-run shot that inning made it 5-1.

Minnesota (98-60) is on the verge of winning its first AL Central title since 2010 and has its highest victory total since the 1970 team also won 98 games. The Tigers (46-111) are assured of baseball’s worst record and the No. 1 pick in next year’s draft.