A slight "thumping" on the left side of my Z4 on 2003 BMW Z4

At low speeds I experience a slight/soft thump coming from either the front left or rear left tire. At high speeds all indication of this "thump" is gone. Should I have the tire's balance checked? Does this seem normal or a serious problem? In all other respects I do not experience any steering or control problems. Also, some times the steering seems to be stiff.

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3 answers 1 comment
It does sound like a tire issue. Jack up the tires on that side and rotate the tire to inspect the tire yourself. Check the tire rotates true (no wobble).
Thanks for, what I suspected about the tires, I will have the tires on the left side checked out for balance etc.
I too have a z4 2003 only have 12,000 miles not sure what is going on! Did you get to problem solved?
What did you find out about this noise. I have a Z4 2003, with 35,000. The same exact noise has started. I would appreciate your help. Thanks