British Prime Minister Theresa May secured concessions from the European Union over her Brexit divorce deal Monday, in a last-minute push to head off a large-scale defeat when the British Parliament votes on the agreement Tuesday.

With the UK due to leave the bloc on March 29, pressure was rising on May to modify the deal roundly rejected by lawmakers in January. She flew on Monday evening to Strasbourg, France, to work out changes in the deal with EU officials. These aimed to reassure British lawmakers that the UK will have the power to break away from EU’s economic orbit if a trade deal isn’t quickly agreed after Brexit.