A method for supporting a mobility of a user equipment, UE, in a wireless communication system, the method comprising: acquiring, by the UE, mobility context; performing, by the UE, the mobility with a target cell; determining, by the UE, whether non-updating criterion is satisfied based on the mobility context; increasing (S1760a), by the UE, a mobility counter of the UE by a predetermined value when the non-updating criterion is not satisfied; not increasing (S1760b), but maintaining, by the UE, the mobility counter of the UE when the non-updating criterion is satisfied although the mobility with the target cell has been performed; performing, by the UE, a mobility state estimation by estimating a mobility state of the UE based on the mobility counter of the UE; and scaling, by the UE, a mobility parameter based on the estimated mobility state, wherein the mobility context includes at least one of: a measured quality of a source cell, a source cell frequency, a target cell frequency, a priority of the source cell frequency and a priority of the target cell frequency, and wherein the mobility counter is not updated, but maintained, although the mobility with the target cell has been performed, if at least one of: if the target cell frequency is different from the source cell frequency and if the measured quality of the source cell is greater than a predetermined threshold, or, if the priority of the target cell frequency is greater than the priority of the source cell frequency. acquiring, by the UE, mobility context; performing, by the UE, the mobility with a target cell; determining, by the UE, whether non-updating criterion is satisfied based on the mobility context; increasing (S1760a), by the UE, a mobility counter of the UE by a predetermined value when the non-updating criterion is not satisfied; not increasing (S1760b), but maintaining, by the UE, the mobility counter of the UE when the non-updating criterion is satisfied although the mobility with the target cell has been performed; performing, by the UE, a mobility state estimation by estimating a mobility state of the UE based on the mobility counter of the UE; and scaling, by the UE, a mobility parameter based on the estimated mobility state, wherein the mobility context includes at least one of: a measured quality of a source cell, a source cell frequency, a target cell frequency, a priority of the source cell frequency and a priority of the target cell frequency, and wherein the mobility counter is not updated, but maintained, although the mobility with the target cell has been performed, if at least one of: if the target cell frequency is different from the source cell frequency and if the measured quality of the source cell is greater than a predetermined threshold, or, if the priority of the target cell frequency is greater than the priority of the source cell frequency. a measured quality of a source cell, a source cell frequency, a target cell frequency, a priority of the source cell frequency and a priority of the target cell frequency, and wherein the mobility counter is not updated, but maintained, although the mobility with the target cell has been performed, if at least one of: if the target cell frequency is different from the source cell frequency and if the measured quality of the source cell is greater than a predetermined threshold, or, if the priority of the target cell frequency is greater than the priority of the source cell frequency.