Investigation into the cause of the furnace effect, encountered in the realization of high-temperature fixed points (HTFPs), was conducted at the copper point. Modifications of the cavity design reduced the furnace effect, which indicates that the furnace effect is caused by the interaction between the furnace and the cavity through reflection at the cavity side wall, linked to the design of the HTFP cells. It was shown that the effect could be mitigated by applying a small aperture at the cavity opening. The difference of the realized temperature from that in the absence of the furnace effect was considered, and it was shown that the effect at the copper point in a HTFP furnace was estimated to be around 14 mK or less, the realized temperature being lower than the true temperature.