In the Internet of Things (IoT) age, fieldbuses for distributed embedded systems are often integrated with IP networks with gateways. Because of the vast difference in bit rates between both networks, buffering characteristics of these gateways are becoming important. In this paper, we modeled a fieldbus gateway using an M/M/1 queuing system for the transient packet buffering. Assuming burst packet arrivals at the gateway, time trends of the expected value and the standard deviation of the number of buffered packets were calculated analytically. Validity of our analysis was confirmed using computer simulation for CSMA/CD communications. Time trend curves for the expected value and the standard deviation matched within 5% and 20 %, respectively. Our transient analysis method provides a practical estimation method for the transient performance of the fieldbus gateways.