The European Union negotiating team had been due to return to Brussels on Sunday.
The paper said the British team would travel to Brussels on Thursday for more talks and that next Saturday had effectively become the deadline to decide whether the two sides could reach a deal.
Britain and the EU have made good progress in talks on a last-minute trade deal that would stave off a tumultuous finale to the five-year-old Brexit crisis, but fishing remains the biggest sticking point.
Hopes for an agreement rose last week when Reuters reported that France is preparing its fishing industry for a smaller catch after Brexit.
