Optical gyroscopes in microcavity platforms have attracted much attention for their vast applications. For Sagnac effect enhancement, the exceptional surface (ES) concept holds the potential to stabilize exceptional points (EPs), allowing for EP splitting amplification and robustness in sensors. We propose a new optical microcavity gyroscope near the ES. Under the mechanical mode assistance, theoretical analysis reveals its prominent advantages compared with conventional gyroscopes, especially achieving higher levels for extremely low rotational speeds. This breakthrough opens possibilities in high-precision angular velocity measurement, facilitating the development of more accurate and stable sensor technologies.