Crawley MP Henry Smith said he had no ambitions to become Horsham MP.
Fellow Tory Francis Maude is to step down from the seat at this year’s General Election.
Mr Smith made explicit he had no ambitions to run for it and said: “My focus is Crawley and to continue being a strong voice for our town in Parliament.”
Mr Maude, cabinet minister for central government, has been Horsham MP since 1997.
In his letter to the Horsham Conservative Association, he said: “I am increasingly optimistic that the Conservative Party under David Cameron’s strong and visionary leadership will form the government after 7th May.
“This election will offer the country a simple choice between this Conservative competence and Labour chaos.
“We need to stick to our long-term economic plan to keep growing the economy, creating more jobs in Horsham and across the country, and paying down the deficit so our children have the best possible future.”
Mr Maude was previously Tory MP for North Warwickshire from 1983 to 1992 and held various posts under the Governments of Baroness Thatcher and Sir John Major.