Liam Fox, Tory spokesman on the constitution, is against the party promoting such an idea, other ideas of the shadow cabinet believe the idea has its merits.
Mr Fox appeared to rule out an English parliament during a speech to the Tory conference, but later had to clarify his position by insisting the part would examine the idea as a possible policy response to the government's plans for a Scottish parliament and a Welsh assembly.
Mr Fox said: 'There are some who say the Conservatives should seek to exploit English nationalism for party advantage. My message is this. All nationalism, Scottish or Welsh or English, is a danger to the integrity of this United Kingdom.'
But one shadow cabinet member said the idea of an English parliament should be explored in detail. 'There would be no downside to us championing the English cause.'
- see LGCnet for Dr Fox's full speech.