We have measured the spin susceptibility of the underdoped high temperature superconductor, YBa2Cu4O8 by Gd^{3+} electron spin resonance in single crystals and aligned powders at several magnetic fields between 3 and 15.4 T. At low temperatures and high fields, the spin susceptibility of the CuO2 planes is enhanced slightly in the orientation with respect to the $B\perp c\approx 0.15 H_{c2}T_c$) is approximately 10 percent of the susceptibility measured at . Such a small magnitude suggests that the second critical field of superconductivity, , would not suppress the pseudogap. This work demonstrates the potential of high field ESR in single crystals for studying high superconductors.

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