A process for the hydrotreatment of a hydrocarbon feed containing nitrogen-containing compounds in an amount of more than 250 ppm by weight and having a weighted average temperature of more than 380°C, comprising the following steps: a) bringing said hydrocarbon feed into contact, in the presence of hydrogen, with at least one first catalyst comprising an amorphous support based on alumina, phosphorus, and an active phase formed by at least one metal from group VIB in the oxide form and at least one metal from group VIII in the oxide form, said first catalyst being prepared in accordance with a process comprising at least one calcining step; b) bringing the effluent obtained in step a) into contact, in the presence of hydrogen, with at least one second catalyst comprising an amorphous support based on alumina, phosphorus, an active phase formed by at least one metal from group VIB and at least one metal from group VIII, and at least one organic compound containing oxygen and/or nitrogen, said second catalyst being prepared in accordance with a process comprising the following steps: i) bringing at least one component of a metal from group VIB, at least one component of a metal from group VIII, phosphorus and at least one organic compound containing oxygen and/or nitrogen into contact with the support, so as to obtain a catalyst precursor; ii) drying said catalyst precursor obtained from step i) at a temperature of less than 200°C, without subsequent calcining; in order to obtain a hydrotreated effluent. a) bringing said hydrocarbon feed into contact, in the presence of hydrogen, with at least one first catalyst comprising an amorphous support based on alumina, phosphorus, and an active phase formed by at least one metal from group VIB in the oxide form and at least one metal from group VIII in the oxide form, said first catalyst being prepared in accordance with a process comprising at least one calcining step; b) bringing the effluent obtained in step a) into contact, in the presence of hydrogen, with at least one second catalyst comprising an amorphous support based on alumina, phosphorus, an active phase formed by at least one metal from group VIB and at least one metal from group VIII, and at least one organic compound containing oxygen and/or nitrogen, said second catalyst being prepared in accordance with a process comprising the following steps: i) bringing at least one component of a metal from group VIB, at least one component of a metal from group VIII, phosphorus and at least one organic compound containing oxygen and/or nitrogen into contact with the support, so as to obtain a catalyst precursor; ii) drying said catalyst precursor obtained from step i) at a temperature of less than 200°C, without subsequent calcining; in order to obtain a hydrotreated effluent. i) bringing at least one component of a metal from group VIB, at least one component of a metal from group VIII, phosphorus and at least one organic compound containing oxygen and/or nitrogen into contact with the support, so as to obtain a catalyst precursor; ii) drying said catalyst precursor obtained from step i) at a temperature of less than 200°C, without subsequent calcining;