A Desk on Casters Help

I'm wanting to have a desk on casters (wheels) as my space is really tight. I was hoping to have a desk with at least a drawer, not just a table.

Realistically, do you think I could add casters to the bottom of the MALM desk and still have it be stable? I was thinking two on the leg side and four on the shelf side.

I realize I could get a table on casters and get a drawer unit, but I would rather it all be one piece.

Any other suggestions?

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