3D-CNNs have demonstrated their capability to capture intricate non-linear relationships within Hyperspectral Images (HSIs). However, the computational complexity of 3D CNNs often leads to slower processing speeds, limited generalization, and susceptibility to overfitting. In response to these challenges, this study introduces the concept of depthwise separable convolutions using (2+1)D convolutions as an alternative to traditional 3D convolutions for Hyperspectral Image Classification (HSIC). The study observes that (2+1)D convolutions can effectively approximate the complex relationships represented by 3D convolutions while requiring fewer convolutional operations, thereby reducing the computational overhead associated with classification. Experimental results obtained from benchmark HSI datasets, including Indian Pines, Botswana, Pavia University, and Salinas, demonstrate that the proposed model yields results that are comparable to those achieved by various state-of-the-art models in the existing literature. The source code is available on GitHub github.com/mahmad00/Extreme-Xception-Net-for-HSIC.