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We present the first measurements of femtoscopic correlations between the K0 S and K± particles in pp collisions at √s = 7 TeV measured by the ALICE experiment. The observed femtoscopic correlations are consistent with final-state interactions proceeding solely via the a0(980) resonance. The extracted kaon source radius and correlation strength parameters for K0 SK− are found to be equal within the experimental uncertainties to those for K0 SK+. Results of the present study are compared with those from identical-kaon femtoscopic studies also performed with pp collisions at √s = 7 TeV by ALICE andwith a K0 SK± measurement in Pb–Pb collisions at √sNN = 2.76 TeV. Combined with the Pb–Pb results, our pp analysis is found to be compatible with th e interpretation of the a0(980) having a tetraquark structure instead of that of a diquark.