The firms, who stopped advertising on the social network have yet to respond.
The tech giant, formerly known as Twitter, claims they unlawfully conspired to boycott the site, costing it billions in lost revenue.
Unilever is in the middle of building a brand new HQ in Kingston town centre.
However, Unilever boss Herrish Patel told US Congress last month that it only advertised on platforms that didn’t harm its brand.
