Temperature- and pressure-sensitive paints (TSPs/PSPs) are the coatings containing luminescent molecules and sensitive to the temperature and oxygen concentration. This work proposed a single-pixel imaging modality of TSPs/PSPs, which can reconstruct the two-dimensional distribution of the lifetime using the signals acquired by a cost-effective photomultiplier tube. A hybrid algorithm was developed as well to solve the resulting inversion problem. Simulative studies have been conducted to validate and assess the performance of the imaging technique under different parameters including the number of sampling points for each illumination, sampling ratio and noise level in terms of mean square error, mean relative error and computational time. Increasing both the number of sampling points and sampling ratio would improve the accuracy but takes more computational time. In the cases of the sampling ratio equals to 0.8, the mean relative errors are approximately less than half of the noise level.