Sombor index is a recently introduced degree based graph topological index. For a graph G, it is defined aswhere du denotes the degree of the vertex u in G. Within a short period of time after introduction of this index by Gutman, many aspects of it have been studied by many researchers. Relating the Sombor index SO(G) of a graph G with the energy ε(G) of G is one such instance among the others. In this article, we aim to provide some improved results relating SO(G) and ε(G).