During Drosophila oogenesis, the oocyte nucleus must migrate from the centre of the cell to the anterior side. The motor protein Kinesin-1 has been implicated in maintaining nucleus position in various contexts, but the mechanisms underlying nuclear migration are unclear. Here, Maëlys Loh, Fred Bernard and Antoine Guichet demonstrate that depleting either of the Kinesin-1 subunits, Khc or Klc, disrupts nuclear migration and positioning. This effect is more severe in the case of Khc deficiency, and the authors find that Khc-GFP is enriched at the nucleus and at centrosomes. Live imaging of oocyte centrosomes reveals that nuclear migration coincides with centrosome clustering, and that this clustering is impaired in the absence of Kinesin-1. Centrosomes surrounded by pericentriolar material (PCM) are active and able to organise microtubules, and the authors find that targeting Polo-like kinase 1 to the centrosomes to increase their activity also compromises clustering. They show that depletion of Kinesin-1 results in higher levels of PCM at the centrosomes and, importantly, they are able to partly rescue the nuclear migration phenotype by inhibiting centrosome assembly. Together, this work identifies a novel role for Kinesin-1 in oocyte nuclear migration.