  In this proceeding, we show that when the drive laser pulse overlaps the
trapped electrons in a laser wakefield accelerator (LWFA), those electrons can
gain energy from direct laser acceleration (DLA) over extended distances
despite the evolution of both the laser and the wake. Through simulations, the
evolution of the properties of both the laser and the electron beam is
quantified, and then the resonance condition for DLA is examined in the context
of this change. We find that although the electrons produced from the LWFA
cannot continuously satisfy the DLA resonance condition, they nevertheless can
gain a significant amount of energy from DLA.
