You ideally need to use a 2k2 resistor, not 1k, to get the best accuracy (the datasheet specifies 1mA for its ratings and 5V - 2.98V is 2V for the resistor.)
You don't say what accuracy you want BTW - unless you have the sensor shielded from heat radiation and under forced-air-circulation you'll easily get 1C or so error from heat radiation from nearby heat sources (that includes you). For some bizarre reason thermal sensors are often encapsulated in black plastic, not metal cans (which pick up far less heat radiation).
Ideally you'd use a constant-current source and measure the voltage at both terminals (treat it as a 4-terminal device) so you don't see IR drops in the leads (although at 1mA that's not such a problem).
If you are using it remotely a 100pF across the leads at both ends will reduce the effect of RF pickup which could affect readings.