NICER and

Aims. The X-ray transient Swift J1727.7–1613 was first detected on August 24 2023 by Swift/BAT and INTEGRAL. We investigated data from the Neutron star Interior Composition Explorer (NICER) and the Neil GehrelsSwift Observatory taken between August and October 2023. Methods. We studied diagnostic diagrams, energy spectra, and short term variability. The observations cover the initial rise of the outburst in the hard state and the transition to the soft state. We focused on the evolution of quasi-periodic oscillations (QPOs) using power-density spectra and on the evolution of the spectral parameters. Results. The overall evolution of Swift J1727.7–1613 is consistent with this source being a low-mass black hole X-ray binary. Based on the Lense-Thirring precession interpretation of type-C QPOs, we obtained outer radii for the hot inner flow and found that the overall evolution of these radii agrees well with the evolution of the inner disc radii obtained from fits to the energy spectra. This result holds on all timescales tested in this study and supports the Lense-Thirring precession interpretation of type-C QPOs.