The forbidden transitions of I2+ may be used to measure the variations of α and μ constant in an enhanced sensitivity. We analyze the rotational spectrum of I2+ between 11860 and 13100 cm-1 and assign 5759 lines to 31 bands in an A2Π3/2-X2Π3/2 system. The accurate rotational molecular constants of 5 levels in X2Π3/2 state and 9 levels in A2Π3/2 state are obtained. On condition that the signal-to-noise ratio is limited by quantum projection noise and the linewidth is 1 Hz, the forbidden transition between X2Π3/2 and X2Π1/2 should be able to achieve the sensitivities of δα/α ≈ 2.37×10-19 a-1 and δμ/μ ≈ 1.18×10-18 a-1.