Since the PYTHIA6 and PYTHIA8 results are inconsistent with ALICE data of charged particle transverse momentum sphericity, we introduce a new method in which the px and py components of produced particles are randomly rearranged on the circumference of an ellipse with a half major and minor axes being pT(1+δp) and pT(1−δp). Based on the particles generated in the PYTHIA6.4 simulations this rearrangement method fairly well reproduces the ALICE data of the transverse sphericity as a function of charged multiplicity in the minimum bias pp collisions at s=0.9 and 7 TeV. Meanwhile, this work predicts a measurable value of v2∼0.2–0.3 for the charged particles in the above pp collisions and suggests a simultaneous study of the particle transverse momentum sphericity and elliptic flow parameter as well as other harmonic coefficients.