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The longitudinal stiffness of cellulosic fibres plays an important role in the mechanical performance of many products these fibres are used for. Especially, the fibres' viscoelastic properties are having an influence on the product performance. In this work, tensile testing at different strain rates was performed on single fibres to investigate the rate dependence of their moduli. Four different fibre types were tested: chemi-thermomechanical softwood pulp (CTMP), bleached chemical softwood pulp (CP), unbleached softwood kraft pulp (UKP), and viscose (VIS). For each fibre sample, ten strain rates ranging from 0.113% s -1 to 800% s -1 were applied. The rate-dependent modulus E r of each fibre at each strain rate was calculated by linearly fitting the stress-strain curves. By obtaining the values of the normalized modulus, a slope value per decade was calculated to quantify the rate dependence. To exclude possible plastic and relaxation effects, two additional experiments were used: a force-controlled loading-unloading experiment and a reverse rate protocol. All cellulosic fibres tested exhibited rate-dependent behaviour with a log-linear relationship between loading rate and modulus. For each tenfold increase in loading rate we found an increase in modulus up to nearly 20%-depending on the fibre type. Viscose fibres exhibit the highest rate dependence, whereas chemical softwood pulp fibres exhibit the lowest., Supplementary Information: The online version contains supplementary material available at 10.1007/s10853-022-07722-7., Competing Interests: Conflict of interestThe authors declare that there is no conflict of interest., (© The Author(s) 2022.)