Former sports minister Tracey Crouch has dismissed calls for a second referendum.
The Chatham and Aylesford MP took to Twitter this morning to reply to a tweet from fellow Tory Robert Halfon about the front page of the Sunday Times.
Ms Crouch, who resigned her ministerial job last month over fixed-odds betting terminals, said a second vote would make members of parliament "look ridiculous".
She wrote: "We are elected to provide the solution to difficult issues. We can't just throw our arms up and shout it's too hard, let's ask everyone again.
"It will damage trust in democracy and in Parliament."
The message has been retweeted nearly 200 times and has been liked by more than 700 people.
Mr Halfon was commenting on the Sunday Times' story about members of Theresa May's inner circle exploring the possibility of a second referendum.
Ms Crouch has been contacted for further comment.