STRASBOURG, France — For years, British politicians have campaigned to end the European Parliament’s expensive and much-ridiculed monthly commute between its two homes, in Brussels and in Strasbourg, France.

Now they may finally be close to getting their wish of scrapping the so-called traveling circus — but only because Britain is leaving the European Union.

Under proposals now circulating, the European Parliament would concentrate its work in Brussels and abandon the monthly chore of packing up the contents of lawmakers’ offices, trucking them 220 miles to Strasbourg, then bringing them back a few weeks later.

To compensate Strasbourg for the loss of the parliamentary sittings, which bring lawmakers and valuable business to hotels and restaurants, the city would host the European Medicines Agency. That organization is in London but, with Britain planning to quit the European Union in the process known as Brexit, it will need a new base. Moving it to Strasbourg would provide a juicy inducement to France to agree to the proposals.