Unite national officer Dominic Hook has welcomed the Barclays chief executive's promise of a "culture shift" at the bank.
However, Mr Hook said more progress needs to be seen to address the gap between the highest paid and lowest paid employees, which he called "huge".
"It's shocking but true that the starting salary at Barclays is just £13,500 a year, making some workers at the bank eligible to claim tax credits", he added.
More top news
A 16-year-old boy has been arrested on suspicion of terror offences as he prepared to leave the UK.
An man is reported to have wounded at least five people - two seriously - in an attack in the Swiss town of Schaffhausen.
Donald Trump's son-in-law has denied any improper conduct during four contacts with Russians during and after the presidential election.