  We employ the technique of weak measurement in order to enable preservation
of teleportation fidelity for two-qubit noisy channels. We consider one or both
qubits of a maximally entangled state to undergo amplitude damping, and show
that the application of weak measurement and a subsequent reverse operation
could lead to a fidelity greater than $2/3$ for any value of the decoherence
parameter. The success probability of the protocol decreases with the strength
of weak measurement, and is lower when both the qubits are affected by
decoherence. Finally, our protocol is shown to work for the Werner state too.
