Does the LEGO Dimensions gateway portal work across multiple systems?

Every copy of Lego Dimensions comes with a USB Gateway Portal for scanning characters, vehicles, and level packs into the game.

Can these gateway portals be used across different consoles?

For example, if I own the Wii U version of Lego Dimensions, will I need to buy another portal specifically for the PS3 version? Or can I reuse my old one?

According to a Game Skinny article from 2015, only the Xbox portals are console-specific:

If you are playing using the Xbox 360 or the Xbox One, these pads only work with their respective consoles because of Microsoft's peripheral certifications. However the Wii U, PS3, and PS4 pads are interchangeable and you can use one with any of the three consoles.

In other words, there are three base stations:

• Xbox 360
• Xbox One
• Wii U ⟷ PS3 ⟷ PS4

Julio’s answer supports this by mentioning that Disney Infinity bases have the same restrictions on Xbox.

To clarify the previous post, note that the Game Skinny article says,

If you are playing using the Xbox 360 or the Xbox One, these pads only work with their respective consoles because of Microsoft's peripheral certifications...

So the answer should be:

• Xbox 360
• Xbox ONE
• Wii U ⟷ PS3 ⟷ PS4

I also happen to have Disney Infinity bases for Wii U, Xbox 360, and Xbox ONE, and can tell you that each respective Xbox Infinity base ONLY works with its own console, but my Wii U base works on PS4 and PS3 as well. I would imagine that Lego Dimensions and SkyLanders bases work the same way, with 3 unique versions of the base manufactured to span across all consoles.