Economic Secretary to the Treasury Sajid Javid has been tasked with drawing up plans that would give everyone in the country shares in RBS worth £300-£400, according to the Independent and Daily Mail.
Party sources were quoted by the newspapers as saying:
One of the options of course could be to put it in our manifesto - but then Labour could do that as well.
Wouldn't it be much better if voters were getting a cheque for £400 a few months before election day? It would also be a very big stimulus.
More top news
Watch the amazing moment a cyclist in Russia escapes being killed as a truck and car collide at high speed.
Cameron may have wrong-footed Labour, but there may also be serious rumblings from his own backbenchers, if he wavers on England's future.
Conservative MP Damian Collins believes a recent investigation into corruption at FIFA could result in criminal charges