"We would hope to see the bill progress unamended," May's spokesman told reporters.
The government has said it wants to guarantee conditions for EU nationals, but says it will only do so when all other member states agree to a reciprocal arrangement for Britons living abroad.
"The prime minister has been clear on many occasions that it is an important area for us and it is one that she would hope to see dealt with as a priority once the negotiations get underway," he said.
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