CRISPR-based assays for the detection of nucleic acids are highly specific, yet they are not fast, sensitive or easy to use. Here we report a one-step fluorescence assay for the detection of severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) RNA in nasopharyngeal samples, with a sample-to-answer time of less than 20 minutes and a sensitivity comparable to that of quantitative real-time PCR with reverse transcription (RT–qPCR). The assay uses suboptimal protospacer adjacent motifs, allowing for flexibility in the design of CRISPR RNAs and slowing down the kinetics of Cas12a-mediated collateral cleavage of fluorescent DNA reporters and cis cleavage of substrates, which leads to stronger fluorescence owing to the accumulation of amplicons generated by isothermal recombinase polymerase amplification. In a set of 204 nasopharyngeal samples with RT–qPCR cycle thresholds ranging from 18.1 to 35.8, the assay detected SARS-CoV-2 with a sensitivity of 94.2% and a specificity of 100%, without the need for RNA extraction. Rapid and sensitive assays for nucleic acid testing in one pot that allow for flexibility in assay design may aid the development of reliable point-of-care nucleic acid testing.