Compression-fitting thermocouple probes can typically withstand a temperature range from approximately -200°C to 1,200°C (-328°F to 2,192°F). However, the exact range depends on several factors, including the type of thermocouple (e.g., Type K, J, T, E, N, R, S, or B), the materials used in the probe construction, and the specific design of the compression fitting. 
Type K thermocouples, for instance, are commonly used and can generally handle temperatures from -200°C to 1,260°C (-328°F to 2,300°F). Type J thermocouples are suitable for -210°C to 760°C (-346°F to 1,400°F). Type T thermocouples are ideal for low-temperature applications, ranging from -200°C to 370°C (-328°F to 698°F). 
The sheath material of the thermocouple probe also plays a crucial role in determining the temperature range. Common sheath materials include stainless steel, Inconel, and ceramic, each offering different levels of temperature resistance and chemical compatibility. Stainless steel is often used for temperatures up to 900°C (1,652°F), while Inconel can withstand higher temperatures, up to 1,200°C (2,192°F).
Compression fittings themselves are typically made from materials like brass, stainless steel, or other high-temperature alloys, which can also influence the maximum temperature the assembly can endure. 
It is essential to consult the manufacturer's specifications for the specific thermocouple and compression fitting being used to ensure they are suitable for the intended application and temperature range.