the transaction size is 339 bytes, the current optimal fee for a 95% chance of getting into the next 3 blocks is 353 sat/byte (according to my node)
339 bytes x 353 sat/byte = 119667 satoshi's = 0.00119667 BTC
So, a 0.001BTC fee would be a tid bit lower than the optimal fee, but it would still be sufficient to get into a block in less than an hour (with odds of 95%).
This is about the fee my fee estimator estimates at the time of writing when using option 2 with 2 inputs and 1 output:
http://www.mocacinno.com/page/feeestimate
So if you want, you can use this tool next time you need to estimate an appropriate fee