"It's disappointing that some MPs have left our party to sit with disaffected Tory MPs. But we cannot return to the failed business-as-usual politics of the past," Corbyn said on his Twitter page.
He also suggested that the Labour movement is "greater than the sum of its parts".
"These MPs now want to abandon the policies on which they were elected. So the decent and democratic thing for them to do is to resign and put themselves up for election", he stated.
The statement comes after one of the biggest political shake-ups in decades among the UK's parties, as three pro-European lawmakers resigned from the ruling Conservatives and joined an alliance dubbed the Independent Group opposing the Conservative government's decision to take Britain out of the European Union with or without a divorce deal.
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On 18 February, several Labour MPs quit the party, saying they no longer had confidence in leader Jeremy Corbyn and his Brexit stance, saying the party had been "hijacked by the machine politics of the hard left".
The breakaway MPs reportedly hope to attract more dissatisfied pro-Europeans from both the Labour and Conservative parties and form a new centrist party.
Earlier in February, Corbyn conveyed to Prime Minister Theresa May a list of five key positions, under which his party might back the Brexit agreement. Corbyn required a permanent UK-wide customs union with the bloc, close adjustment with the EU single market, "dynamic alignment" on rights, a commitment to UK participation in EU agencies and grant programmes as well as clear deals on future security cooperation.
Labour had previously called on the UK government to ensure that the country has the "exact same benefits" in the future as a customs union and single market member.