Exotic cosmologies predict variability of the fundamental physical constants over the cosmic time . Using the VLT/UVES high resolution spectra of the quasar Q0347–3819 and unblended electronic-vibrational-rotational lines of the H _ { 2 } molecule identified at z _ { abs } = 3.025 we test possible changes in the proton-to-electron mass ratio \mu _ { 0 } = m _ { p } / m _ { e } over the period of \sim 11 Gyr . We obtained a new constraint on the time-averaged variation rate of \mu _ { 0 } of | \dot { \mu } / \mu _ { 0 } | < 5 \times 10 ^ { -15 } yr ^ { -1 } ( 1 \sigma c.l . ) . The estimated 1 \sigma uncertainty interval of the | \Delta \mu / \mu _ { 0 } | ratio of about 0.004 % implies that since the time when the H _ { 2 } spectrum was formed at z _ { abs } = 3.025 , \mu _ { 0 } has not changed by more than a few thousands of a percent .