The energy spectrum of incompressible turbulence is known to reveal a pileup of energy at those high wavenumbers where viscous dissipation begins to act. It is called the bottleneck effect [10,11,16,26,47]. Based on direct numerical simulations of the incompressible Navier-Stokes equations, results from Donzis & Sreenivasan [10] pointed to a decrease of the strength of the bottleneck with increasing intensity of the turbulence, measured by the Taylor micro-scale Reynolds number R λ . Here we report first experimental results on the dependence of the amplitude of the bottleneck as a function of R λ in a wind-tunnel flow. We used an active grid [17] in the Variable Density Turbulence Tunnel (VDTT) [3] to reach R λ > 5000, which is unmatched in laboratory flows of decaying turbulence. The VDTT with the active grid permitted us to measure energy spectra from flows of different R λ , with the small-scale features appearing always at the same frequencies. We relate those spectra recorded to a common reference spectrum, largely eliminating systematic errors which plague hotwire measurements at high frequencies. The data are consistent with a power law for the decrease of the bottleneck strength for the finite range of R λ in the experiment. arXiv:1812.01370v2 [physics.flu-dyn]