RBS stock climbed 1.15 percent to 359.8 pence on London's benchmark FTSE 100 index, which was up 0.43 percent in early deals.
Newspapers said the announcement of a jobs cull, which could total at least 30,000 according to the Financial Times following a shake-up of the lender's investment banking and international divisions, would be made alongside its annual earnings statement due yesterday.
Other reports said that tens of thousands of posts could go over the next five years.
RBS was rescued with 45.5 billion pounds(55 billion euros, USD 75 billion) of British taxpayer cash at the height of the 2008 global financial crisis under the then-Labour government, making it the world's biggest-ever banking bailout.
Also Read
Former chief executive Stephen Hester earned the respect of the business community by axing 41,000 jobs, selling non-core assets and transforming the balance sheet at RBS, during his time at the helm.
However Hester left RBS last year, reportedly at the request of Britain's finance minister George Osborne who wanted a new face to help guide Royal Bank of Scotland's return to private ownership.