A process for isomerizing dehydration of a feedstock comprising, alone or in a mixture, a 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 step of isomerizing dehydration operated in the gas phase at a weighted average temperature of between 250 and 460° C., at a pressure of between 0.2 MPa and 1 MPa, at a weight hourly space velocity (WWH) of between 1 and 25 h−1, in the presence of a catalyst comprising at least one zeolite and at least one binder, in which the amount by weight Tz of zeolite is 55-90 wt % and the binder content is 10-45 wt % relative to the total weight of said catalyst and in which said zeolite has at least one series of channels with an aperture of 8 oxygen atoms (8MR) and being of structural type FER, said binder having a pore volume before preparation of between 0.5 and 0.9 ml/g, the catalyst being trilobate or quadrilobate and having
- an average mesopore volume Vm centered at plus or minus 20% around the value defined by the formula Vm=−0.004Tz+0.505, the mesopores having a diameter of 3.6 nm to 50 nm,
- an average macropore volume VM centered at plus or minus 20% around the value defined by the formula VM=0.0101Tz−0.5375, the macropores having a diameter of more than 50 nm and less than 7000 nm,
- an average micropore volume Vμ centered at plus or minus 20% around the value defined by the formula Vμ=0.0014Tz−0.0006, the micropores having a diameter of less than 2 nm,
- and, in the formulas, Tz is expressed in wt % and the pore volumes are expressed in ml/g,
- an exposed geometric area of 2700 to 11,000 m2/m3 of catalyst bed volume, the exposed geometric area being the geometric surface area of a catalyst bed expressed relative to the volume occupied by the same catalyst bed.