"The European Council calls on the UK to respect the principle of non-discrimination among member states and the rights of EU citizens," said the draft, a copy of which was seen by Reuters.
Britain formally left the EU nearly a year ago and the new partnership agreement will regulate ties from Jan. 1 on everything from trade to transport, energy links and fishing.
But even then, Hungary on Saturday jumped the gun on the official roll-out by administering shots to frontline workers at hospitals in the capital Budapest.
The British government on Wednesday said huge swathes of England would be placed under its strictest COVID-19 restrictions as a highly infectious virus variant sweeps the country.
The UK wants to gradually curb EU access to its fishing waters over three years, while the bloc is proposing six years, to give its fishing industry longer to adjust.