Background and objectives: Recently, rapid progress has been made in the development of noninvasive methods for liver fibrosis assessment. The study aimed to assess the correlation between LSM and serum fibrosis markers to identify patients with advanced liver fibrosis in daily clinical practice. Methods: Between 2017 and 2019, 89 patients with chronic liver disease of various etiology, 58 males and 31 females, were enrolled in the study and underwent ultrasound examination, vibration-controlled transient elastography (VCTE), AST to Platelet Ratio Index (APRI score), Fibrosis-4 (FIB-4) score, and enhanced liver fibrosis (ELF) test. Results: The diagnoses were as follows: NAFLD (30.3%), HCV (24.3%), HBV (13.1%), ALD (10.1%), other (7.8%). Their median age was 49 (21–79), and their median BMI was 27.5 (18.4–39.5). The median liver stiffness measurement (LSM) was 6.7 kPa (2.9–54.2 kPa), the median of the ELF test was 9.0 (7.3–12.6), and the median APRI was 0.40 (0.13–3.13). Advanced fibrosis assessed by LSM was present in 18/89 (20.2%) patients. The LSM values correlated with the ELF test results (r2 = 0.31, p < 0.0001), with the APRI score (r2 = 0.23, p < 0.0001), the age of the patients (r2 = 0.14, p < 0.001), and with the FIB-4 values (r2 = 0.58, p < 0.0001). The ELF test values correlated with the APRI score (r2 = 0.14, p = 0.001), the age (r2 = 0.38, p < 0.0001), and the FIB-4 (r2 = 0.34, p < 0.0001). By determining the confidence intervals of the linear model, we proved that patients younger than 38.1 years have a 95% probability of absence of advanced liver fibrosis when assessed by VCTE. Conclusions: We identified APRI and FIB-4 as simple tools for screening liver disease in primary care in an unselected population of patients. The results also showed that individuals younger than 38.1 years had a negligible risk of advanced liver fibrosis.