Eevee mirror (Reflection plane) problem with close objects

Hi there,

I’m having a problem with Eevee and a mirror material. I placed a reflection plane and scaled it down to the object’s size, but the reflection is wrong.

Here’s how it looks in Cycles as an example (Viewport quick render):

And here’s how it looks with Eevee:

It’s like the objects are passing through themselves, which isn’t the case.
If I move the reflection plane downwards I lose the reflection entirely.

How can I fix this?
Thanks!

Fixed by adjusting the clipping offset! (0.0001)