Nearly 70 MPs have signed Mr Sheridan's early day motion (EDM) complaining of double standards at Parliament.
Mr Sheridan, who is chair of the Unite union parliamentary group, said: "Staff are outraged at the 1 per cent offer."
Workers hit by the pay cap include chefs, waiters and clerical staff who ensure that Parliament functions for MPs and government.
Several of the senior managers earn £125,000 or more.
The only Tory MP signed up to the protest EDM is Stephen McPartland, a campaigner against tax evasion who recently became the first Conservative parliamentarian to write an article for the Morning Star.
SNP MP Brendan McNeil has put down a related motion noting that a 5 per cent increase on a salary of £135,000 gives an increase of £6,750, while 1 per cent of £25,000 is just £250.