Conservative leader David Cameron has been urged to re-open the issue of abortion if the Tories win the next election.
West Midlands MP Mark Pritchard said the party should make a manifesto commitment to review the medical evidence relating to abortion, if it formed a Government.
It follows a Commons vote this week in which MPs rejected propsoals to reduce the time limit for abortion from 24 weeks.
Calls to cut the limit to 22 weeks were comfortably rejected by 233 votes to 304, a majority of 71 against, in one of a series of free votes.
But nearly 70 per cent of Conservative MPs backed the proposal, including Mr Cameron, while 60 per cent also backed a 20-week limit.
Forty Conservative MPs, representing one in five of the parliamentary party, voted for a 12-week limit.
Supporters of reform argue that modern medical techniques allow many babies born after fewer than 24 weeks of gestation to survive, raising ethical issues about aborting foetuses which, they argue, are potentially viable.
Mr Pritchard (Con, The Wrekin) was told off by the Speaker during the debate, when he held up a picture of a foetus at 16 weeks, in breach of Commons rules.
He said the vote should not be the end of the debate. He stressed that he was asking the Tory leader to promise a review, and not necessarily to promise that MPs would be given another opportunity to consider changing the law.
He said: "I hope that David Cameron will make a commitment in the next Conservative manifesto to review the law in the light of future medical advances.
"Whilst disappointed by the result I’m encouraged by the shift in public opinion which shows that three quarters of women want to see a reduction in the current term limit.
"In this respect, Parliament is lagging behind public opinion and, indeed, the opinion of the majority of GPs who also want to see a reduction in the term limit."
The MP added: "I am not against abortion. But I believe that in far too many cases, abortion is being used for medical rather than social reasons.
"I would rather see the scarce resources of the NHS put into creating life and giving IVF treatment to hopeful parents."
Anti-abortion campaigners have also vowed to continue their fight for a reduction in the number of abortions in the UK.
Julia Millington, spokeswoman for the Alive & Kicking Alliance, said: "By ignoring this change in public mood, Parliament has demonstrated that it is seriously out of touch with the opinion of the British people on this issue."
She added: "This change has come about as a result of advances in neonatal care and our growing understanding of the humanity of the baby in the womb, coupled with the realisation that Britain is significantly out of step with the European average of 13 weeks.
West Midlands MPs voting for a 12 week limit this week included Bill Cash (Con Stone), Sir Patrick Cormack (Con South Staffordshire), Dan Kawczynski (Con Shrewsbury), Owen Paterson (Con North Shropshire) and Mr Pritchard.
A 20-week limit was backed by Richard Shepherd (Con Aldridge Brownhills), Caroline Spelman (Con Meriden) and Jeremy Wright (Con Rugby).
A 22-week limit was backed by Lorely Burt (Lib Dem Solihull), James Plaskitt (lab Warwick & Leamington) and Sir Michael Spicer (Con West Worcestershire).