If you mean by the "exchange bias field" the meanfield (in the continuum definition) that is of quantum mechanical origin that aligns the unpaired spins of neighboring atoms, I do not think this is directly linked to the coercive field. The coercive field is the "external field" required to switch the spin direction and is a function of the lattice anisotropy as well as nucleation and growth dynamics (domain wall energies and etc.). Increasing the coercive field requires altering magnetic anisotropy, likely possible via altering structure (using strain and etc.) and this will surely change the coercive field and the Curie point of the system (hence the exchange field) but how the two would couple appears to me non-intuitive.
As such in case of AFM and FM interfaces, EB is not mainly affected by the coercive field of FM. While it is mainly depend upon the Tn (Neel temperature) of the two layers.
But in case of PEB(Perpendicular Exchange bias),hardness (Coercivity) of FM tells the amount or sign of the exchange bias, in case of multilayers of Hard FM and soft FM.
For more details:
Radu, F., et al. "Perpendicular exchange bias in ferrimagnetic spin valves." Nature communications3 (2012): 715.