The campaign organisation UK Uncut says that planned protests outside 40 Starbucks stores will take place this weekend, despite the organisation offering to pay £10 million pounds in corporation tax.
Spokeswoman Hannah Pearce said that offering to pay some tax "if and when it suits" did not stop the company being a tax avoider.
"Today's announcement is just a desperate attempt to deflect public pressure" she continued.
"There is no money yet, and hollow promises on press releases don't fund women's refuges or child benefits."
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The Supreme Court is to rule on whether a minimum income barrier that stops British citizens from bringing a spouse to the UK is lawful.
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Wednesday will be a cloudy but mild day across southern England and Wales with outbreaks of rain