We recently demonstrated photodriven quantum teleportation of an electron spin state in a covalent donor-acceptor-radical (D-A-R•) system. Following specific spin state preparation on R• with a microwave pulse, photoexcitation of A results in two-step electron transfer producing D•+-A-R-, where the spin state on R• is teleported to D•+. This study examines the effects of varying the time (τD) between spin state preparation and photoinitiated teleportation. Using pulse electron paramagnetic resonance spectroscopy, the spin echo of D•+ resulting from teleportation shows a damped oscillation as a function of τD that is simulated using a density matrix model, which provides a fundamental understanding of the echo behavior. Teleportation fidelity calculations also show oscillatory behavior as a function of τD due to the accumulation of a phase factor between ⟨Sx⟩ and ⟨Sy⟩. Understanding experimental parameters intrinsic to quantum teleportation in molecular systems is crucial to leveraging this phenomenon for quantum information applications.