Summary: Let \(f\) be an analytic function in the open unit disk and normalized such that \(f(z)=z+a_nz^n+\dots,n\in\mathbb{N}\), \(n>2\). In this work we use differential subordinations to study the expression \[z\frac{f'(z)-1}{f(z)-z}\] and give estimates of \(f'(z)-1\). Also, sufficient conditions for a function to be with bounded turning are obtained and some open problems are posed. This work is a continuation of the results published in N. Tuneski and M. Obradović [Comput. Math. Appl. 62, No. 9, 3438–3445 (2011; Zbl 1236.30017)].