An elevator safety system for an elevator system with at least one door (20, 61, 81, 91) and with an elevator car, which is movable along a hoistway between a plurality of landings (6, 8, 9), wherein the elevator safety system comprises: at least one position sensor, which is configured for determining a position value representing the position of the elevator car within the hoistway; at least one door sensor (23, 63, 83, 93), which is configured for detecting whether the at least one door (20, 61, 81, 91) is closed; a limit setting unit, which is configured for determining an operation status from a plurality of operation statuses of the elevator car and for setting an upper position limit and a lower position limit according to the determined operation status; and a comparison unit, which is configured for comparing the determined position value with the set position limit and for determining an error condition if the position value is not in compliance with the at least one position limit and the at least one door sensor (23, 63, 83, 93) indicates that at least one door (20, 61, 81, 91) is not closed; wherein the operation statuses of the elevator car comprise: a first operation status corresponding to a destination landing approaching operation in which the elevator car approaches a destination landing (6, 8, 9) and selected doors (20, 61, 81, 91) of the elevator system are allowed to start opening before the elevator car as reached its final position at the destination landing (6, 8, 9); a second operation status corresponding to a re-leveling operation in which the elevator car has reached the destination landing (6, 8, 9) and is stopping at the destination landing (6, 8, 9); and characterized in that the difference between the upper and lower position limits in the destination landing approaching operation is bigger than the difference between the upper and lower position limits in the re-leveling operation. at least one position sensor, which is configured for determining a position value representing the position of the elevator car within the hoistway; at least one door sensor (23, 63, 83, 93), which is configured for detecting whether the at least one door (20, 61, 81, 91) is closed; a limit setting unit, which is configured for determining an operation status from a plurality of operation statuses of the elevator car and for setting an upper position limit and a lower position limit according to the determined operation status; and a comparison unit, which is configured for comparing the determined position value with the set position limit and for determining an error condition if the position value is not in compliance with the at least one position limit and the at least one door sensor (23, 63, 83, 93) indicates that at least one door (20, 61, 81, 91) is not closed; wherein the operation statuses of the elevator car comprise: a first operation status corresponding to a destination landing approaching operation in which the elevator car approaches a destination landing (6, 8, 9) and selected doors (20, 61, 81, 91) of the elevator system are allowed to start opening before the elevator car as reached its final position at the destination landing (6, 8, 9); a second operation status corresponding to a re-leveling operation in which the elevator car has reached the destination landing (6, 8, 9) and is stopping at the destination landing (6, 8, 9); and characterized in that the difference between the upper and lower position limits in the destination landing approaching operation is bigger than the difference between the upper and lower position limits in the re-leveling operation. a first operation status corresponding to a destination landing approaching operation in which the elevator car approaches a destination landing (6, 8, 9) and selected doors (20, 61, 81, 91) of the elevator system are allowed to start opening before the elevator car as reached its final position at the destination landing (6, 8, 9); a second operation status corresponding to a re-leveling operation in which the elevator car has reached the destination landing (6, 8, 9) and is stopping at the destination landing (6, 8, 9); and characterized in that the difference between the upper and lower position limits in the destination landing approaching operation is bigger than the difference between the upper and lower position limits in the re-leveling operation.