The authors establish some results on almost Einstein solitons with unit geodesic potential vector field and provide necessary and sufficient conditions for the soliton to be trivial. They prove the following contributory result: Let \((g,\xi,\lambda)\) be an almost Einstein soliton on the compact and connected \(n\)-dimensional smooth manifold \(M (n>2)\) with unit geodesic potential vector field \(\xi\) and nonzero scalar curvature. Then \(\xi\) is an eigenvector of the Ricci operator with constant eigenvalue, i.e., \(Q\xi = \sigma\xi\), for \(\sigma\in \mathbb{R}^*\), satisfying \((n\sigma-r)r \geq 0\), if and only if the soliton is trivial.