Common vetch (Vicia sativa subsp. sativa L.) is a self-pollinating annual forage legume with worldwide importance. Here, we investigate the optimal number of individuals that may represent the genetic diversity of a single population, using Start Codon Targeted (SCoT) markers. Two cultivated varieties and two wild accessions were evaluated using five SCoT primers, also testing different sampling sizes: 1, 2, 3, 5, 8, 10, 20, 30, 40, 50, and 60 individuals. The results showed that the number of alleles and the Polymorphism Information Content (PIC) were different among the four accessions. Cluster analysis by Unweighted Pair Group Method with Arithmetic Mean (UPGMA) and STRUCTURE placed the 240 individuals into four distinct clusters. The Expected Heterozygosity (HE) and PIC increased along with an increase in sampling size from 1 to 10 plants but did not change significantly when the sample sizes exceeded 10 individuals. At least 90% of the genetic variation in the four germplasms was represented when the sample size was 10. Finally, we concluded that 10 individuals could effectively represent the genetic diversity of one vetch population based on the SCoT markers. This study provides theoretical support for genetic diversity, cultivar identification, evolution, and marker-assisted selection breeding in common vetch.