Here we present a screening method to evaluate the potential of genes to transfer aspects of apomixis into sexual crop plants. Based on the assumption that an apomictic progeny is an exact genetic replica of the mother plant we employed a set of single sequence length polymorphism (SSLP) markers to identify individuals displaying heterozygosity fixation in segregating sexual populations as an indication of rare apomictic events. Here we present the results of such a study using the Arabidopsis thaliana SOMATIC EMBRYOGENESIS RECEPTOR KINASE 1 (AtSERK1) gene expressed under the control of the AtLTP1 promoter in sexual Arabidopsis plants. In one of the three tested F2 transgenic populations expressing the AtLTP1::AtSERK1 construct we observed two plants with heterozygosity maintenance for the full set of SSLP markers indicating a possible clonal inheritance. However, as their offspring revealed a close to binomial segregation for a number of heterozygous loci, it was concluded that these two putative apomictic plants either lost their clonal ability in the next generation or resulted from incidental recombination events displaying the genotype of the parent.