The latest poll showed that 45 per cent would intend to vote to leave the EU, compared to 36 per cent who would vote to remain a member of the European Union.
Two per cent said they would not vote.
The deal was seen by some eurosceptic critics as falling short in proposals on curbing immigration, as well as limiting benefits for non-British EU citizens.
Overall, the leave vote has gained a nine point lead after the proposals were announced, and will seek to pounce on the deal's lukewarm reception to convince the 17 per cent still undecided on the referendum vote.
It's still not quite 92 per cent who are voting out, though.