A simple approach is presented to synthesise the high-purity MAX phase by the pressureless method. This method is featured by the short time in duration. The process is executed with a high heating rate (up to $\cong 10^{2}$ K/min) that inhibits the formation of the objectionable phases and limits elemental loss due to the short-time process. The samples containing $\cong$ 96% wt. of the MAX phase Ti$_{3}$AlC$_{2}$ are successfully synthesised using the proposed technique.