Usually, a Broadway show closes when it’s a flop. But “Motown: The Musical“ is closing as a hit.

On Thursday evening, the producers planned to announce that this jukebox musical about the record label founded in Detroit — which features classics like “I Heard It Through the Grapevine“ and “Ain’t No Mountain High Enough” — will play its final performance at the Lunt-Fontanne Theater in January and then come back to Broadway in July 2016.

In explaining the decision, the show’s producers made clear that “Motown,” which opened in April 2013, will recoup its $18 million investment in the next few weeks. The show’s first national tour grossed $20 million during a 16-week run, and a production will open in London next summer. The producers plan to use the Broadway sets and costumes there.

Still, the Broadway box office has softened, and running costs are high, as much as $850,000 a week, according to the producers. The tour has taught them that they can retool the show with lower weekly costs — about $675,000 — so that it can run leaner and longer. The New York company has 41 actors and 18 musicians; on the road, it has 33 actors and 15 musicians, and producers said they expect the show that returns to Broadway to land somewhere in the middle.

“We made a philosophical decision early on that we didn’t want to get into a world of steep discounts,” said Kevin McCollum, who produced the musical with Doug Morris, the Sony music executive, and Motown’s founder, Berry Gordy. “I’m excited about leaving strong so we can come back stronger.”