  We compute asymptotic estimates for the Fourier coefficients of two mixed
mock modular forms, which come from Bailey pairs derived by Lovejoy and Osburn.
To do so, we employ the circle method due to Wright and a modified Tauberian
theorem. We encounter cancellation in our estimates for one of the mock theta
functions due to the auxiliary function $\theta_{n,p}$ arising from the
splitting of Hickerson and Mortenson. We deal with this by using higher order
asymptotic expansions for the Jacobi theta functions.
