"The purpose of the meeting will be a discussion before (Tusk) finalises his proposal covering all four (British reform demands). The proposal is expected to be tabled early next week," he said.
Cameron is due to meet European Commission head Jean-Claude Juncker in Brussels on Friday, after cancelling a scheduled visit to Sweden and Denmark, his office said Wednesday.
Friday`s meeting will "discuss the UK`s renegotiation of its membership" of the European Union (EU), Downing Street said in a statement.
Cameron has set out a series of reforms he wants from Brussels in return for backing Britain`s continued EU membership in a referendum he has promised by 2017.
It is widely expected that if the prime minister gets what he wants at the EU leaders summit on February 18-19, he would then go for a vote in June.
However, he has run into fierce opposition on his key demand to restrict access to the British welfare system for EU citizens and the upcoming talks promise to be difficult.
Downing Street said Friday`s meeting was "absolutely" a positive development.
Cameron`s spokeswoman told reporters: "Across Europe, we are seeing leaders -- whether in the institutions or other countries -- clear that they want to see a deal secured in February."
"The ambition is there. There`s clearly more work to do," she said.
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