Can a Monk with Weapon Finesse use Deadly Accuracy on unarmed strike?

[Jazeoth]

Weapon Finesse can be applied to unarmed strikes as they are considered light weapons, and thus changing the Str modifier to Dex.

With Deadly Accuracy, when dealing damage with a weapon that adds Dex to attack rolls (melee weapon attacks made with Weapon Finesse), you can reroll any result of 1 on your weapon’s damage dice.

I am unsure if this is actually possible. I'm doing a dex build Vanara Monk and was hoping that this can eventually increase my overall damage when I reach level 6.