This study focuses on the effect of pressure level and H₂ content in the CH₄–H₂ fuel mixture on the global consumption-based turbulent flame speed (S_T). The data considered in the analysis are collected for a variety of CH₄–H₂ fuel compositions (from 50% to 100% H₂ vol.), pressure levels ranging from 0.5 to 1.5 MPa, and preheating temperatures up to 623.15 K. Different trends of S_T/S_L0 (S_L0 is the adiabatic unstretched laminar flame speed) are observed as a function of the normalized turbulence intensity (u'/S_L0), depending on the H₂ content in CH₄–H₂ fuel blends. Yet, for all the CH₄–H₂ fuel mixtures considered, S_T/S_L0 consistently increases with H₂ content. Rising pressure levels are responsible for larger S_T/S_L0, in direct proportion with the H₂ content. These trends are mostly caused by the decrease in S_L0, which causes changes to the characteristics of the flamelet that becomes more sensitive to hydrodynamic wrinkling through the high molecular diffusivity of H₂.