RBS has yet to decide whether the £390 million fine for rate rigging should have an impact on any bonus Hester may recieve.
He will be paid a bonus in shares next month as part of a reward scheme for his performance in 2010.
Hester will be handed the shares next month, and will be able to cash them in a year later. The exact value will depend on the share price when he cashes them in.
The chief executive said last week he would stay to "finish the job" at the bank despite evidence from US and UK authorities over its role in the Libor scandal, dating back to 2006 and continuing through to late 2010, when investigations had already begun.
RBS, which is 81% owned by the Government, expects to recoup around £300 million from its staff bonus pool and claw back previous awards to pay for the fines.
Lord Oakeshott, the Liberal Democrat peer, said: "It is wholly unacceptable that Hester should receive a bonus for 2010 when these scandals were still going on.
"He had been captain of the ship for two years, but the crew was still robbing the passengers."
Defending Hester's bonus, RBS chairman Sir Philip Hampton said: "We are not contemplating clawing back Stephen's bonus award that was made in 2010.
"Stephen has only had one bonus out of four years, which we think is already quite a severe level of clawback through a different route."
