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We investigate the influence of a general non-local advection term of the form K⁎ u to propagation in the one-dimensional Fisher-KPP equation. This model is a generalization of the Keller-Segel-Fisher system. When K∈ L 1 (R), we obtain explicit upper and lower bounds on the propagation speed which are asymptotically sharp and more precise than previous works. When K∈ L p (R) with p> 1 and is non-increasing in (−∞, 0) and in (0,+∞), we show that the position of the “front” is of order O (t p) if p<∞ and O (e λ t) for some λ> 0 if p=∞ and K (+∞)> 0. We use a wide range of techniques in our proofs.