  We present preliminary results for fits of parton distribution functions
(PDFs) which include the resummation of small-$x$ logarithms at NLLx accuracy,
performed in the NNPDF framework. We observe an improvement in the description
of DIS data at small values of Bjorken $x$ when resummation effects are
included. The improvement is more marked when comparing NNLO+NLLx fits to NNLO
ones, and is particularly noticeable for small-$x$ and small-$Q^2$ HERA
inclusive structure functions. The main effect of the resummation is an
enhancement of the gluon and singlet PDFs at small-$x$, which persists at high
scales.
