David Cameron will face his first live TV test of the EU referendum campaign as he appears before the cameras on the evening of 2 June. The pro-EU prime minister will be grilled on Sky News by the channel's political editor, Faisal Islam, and host Kay Burley will moderate questions from a studio audience, which will include Remain, Leave and undecided voters.

Fellow top Tory and Brexit campaigner Michael Gove will endure the same format on the 3 June, but the pressure will be on Cameron as the opinion polls show a swing towards Leave. The latest online survey from YouGov, of more than 1,700 people between 30 and 31 May, put Remain and Leave level at 41%, with 13% of respondents undecided.

Previous research from ICM for The Guardian, which used an online and telephone poll, gave Leave the lead.

The move towards a Brexit comes after official figures revealed that net migration to the UK had climbed to 333,000 in 2015, more than three times Cameron's "tens of thousands" pledge.

Ukip leader Nigel Farage and his party have consistently campaigned on an anti-mass immigration platform, while Vote Leave, which has the support of Gove, former London mayor Boris Johnson and employment minister Priti Patel, recently announced their support for an Australian-style points system.

The economy has also been a top issue throughout the campaign, with the likes of the Bank of England, the International Monetary Fund and the Treasury warning against a split from the EU. The Chancellor George Osborne has also warned that a Brexit could trigger a year-long recession, but fellow Remain campaigner Jeremy Corbyn attacked the Conservative over the claim on the morning of 2 June.

"It's the same George Osborne who said the British economy would be 'carried aloft by the march of the makers' yet the manufacturing sector has stagnated ever since, and manufacturing employment declined," the Labour leader argued.

"The biggest risk of recession in this country is from a Conservative government that is failing – failing on the deficit, failing on the debt, failing to rebalance the economy and failing to boost productivity."

You can watch the Sky News In or Out show from 8pm BST.