A process for isomerizing dehydration of a feedstock comprising at least one primary monoalcohol, of formula R—CH2—OH, in which R is a nonlinear alkyl radical of general formula CnH2n+1 where n is an integer of between 3 and 20, said process comprising a gas-phase isomerizing dehydration step at a weighted average temperature of between 200 and 300° C., at a pressure of between 0.1 and 1 MPa, at a weight hourly space velocity (WHSV) of between 1 and 25 h−1, in the presence of a catalyst comprising at least one zeolite, wherein said zeolite has at least one series of channels whose pore opening is defined by a ring of 8 oxygen atoms (8MR) and has a mesopore volume of greater than or equal to 0.10 ml/g.