In case of physical wallet theft, quickest way to offload funds in wallet backup?
You do not need to send coin to another wallet, but you surely need them to be sent to another address (since the compromised wallet has compromised addres). What I would is go to http://blockchain.info and open a new wallet. Copy paste the first address you see, it'll be your new secure address since you just genereted it. Then import your old compromised wallet.dat to blockchain.info and then send all your coins to the address you copied (in the bitcoin client it would show as sending to self). Then you are safe if the transaction confirm since you are the only one able to use this address. You can then send those bitcoin to a new wallet.