Noise texture offset


I am using the Displace Modifier to add some noise to my model.

Then I connect it with a Noise Texture BUT I want to animate the offset of my Noise texture and I can’t.

I can’t find anything like Offset in the options. I could use the Amount button, but it is not the same.
Any ideas? Can I see my Noise Texture as a node? Where?

Change the Coordinates option in displace modifier to object or UV and use a empty directly to move coordinates or UVs through other methods.

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Thanks, your answer helped me.
I share a video with more details for people who want to make the same: