There is an article on "Knowledge Base" about using SCC-AI06 for thremocouple measurements. It is "Can I Use The SCC-AIxx Family For Thermocouple Measurements?" It describes what limitations are of AI-06.
Each thermocouple sensor has its own thermal inertia, i.e. settling time. It is time when temperature calculated from the sensor output signal will reach temperature of the media with certain precision. Settling time will depend on the size of thermocouple wires used and if there is any insulation involved. Check with manufacturer of the sensors on sensor response time.