Motivated by the recent experimental evidence of the exotic B = S = +1 baryonic state Θ (1540), we examine the older existing data on K⁺N elastic scattering through the time delay method. We nd positive peaks in time delay around 1.545 and 1.6 GeV in the D₀₃ and P₀₁ partial waves of K⁺N scattering respectively, in agreement with experiments. We also find an indication of the J = 3/2 Θ*  spin-orbit partner to the Θ, in the P₀₃ partial wave at 1.6 GeV. We discuss the pros and cons of these ndings in support of the interpretation of these peaks as possible exotics.