EU leaders cautioned May on Thursday that unless she gave ground on trade and the Irish border by November they are ready for Britain to leave the trading bloc without any deal.
“I do not accept that. The prime minister is getting the right deal for our country. She is sticking up for Britain, sticking up what will work for country. These are tough negotiations,” Brokenshire told BBC radio.
Britain is due to leave the European Union on March 29, yet little is clear: There is, so far, no divorce deal, rivals to May are circling and some rebels have vowed to vote against a possible Brexit deal.
Brokenshire said he still believed a deal was achievable if the EU engaged on economic co-operation.