The Fermi velocity v_F is one of the primary characteristics of any conductor, including any superconductor. For conductors at ambient pressure, several experimental techniques have been developed to measure v_F, and, for instance, Zhou et al. [Nature 423, 398 (2003)] reported that high-T_c cuprates exhibited a universal nodal Fermi velocity vF,univ=2.7±0.5×105 m/s. However, there have been no measurements of v_F in highly compressed near-room-temperature superconductors (NRTS), owing to experimental challenges. Here, to answer the question of the existence of a universal Fermi velocity in NRTS materials, we analyze the full inventory of data on the ground-state upper critical field B_c2(0) for these materials and find that this class of superconductors exhibits a universal Fermi velocity vF,univ=1/1.3×2Δ0/kBTc×105 m/s, where Δ(0) is the ground-state amplitude of the energy gap. The ratio 2Δ0/kBTc varies within a narrow range 3.2≤2Δ0/kBTc≤5, and so v_F,univ in NRTS materials lies in the range 2.5 × 10⁵ m/s ≤ v_F,univ ≤ 3.8 × 10⁵ m/s, which is similar to the range of values found for the high-T_c cuprate counterparts of these materials.