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But the thickness of the face on this model is .140"
Don-Jo does have a shelf adhesive model available with the part number 1610 as see here:
But that is 135" thick.
The only item that comes to mind that will approach the 1/16" thickness requirement would be a self adhesive felt pad.
Is there a follow up question that we can perhaps attempt to answer? We take pride deep in our technical expertise, as we know it separates us from our competition, so don't hesitate to ask.
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if we can assist you by answering further questions or with entering this order and please let us know if there is anything else we can help with.