Mr Coaker also called on the Chancellor to urgently fix the holes in its support schemes that he said have left millions of others excluded from support.
New analysis estimates that 5,847 people were still furloughed by their employer in late January in Gedling borough.
Coaker said: “We need urgent action to secure, recover and create jobs to help 3040 people claiming out of work benefits and 5,487 people still on furlough in Gedling.
“This must include a smarter furlough scheme, an overhaul of the failing Kickstart youth programme, and reform of the shambolic Green Homes Grant as part of wider action to ‘Build it in Britain’ and support the creation of 400,000 new jobs nationally.
“I am also calling on the Chancellor to set the fourth grant of the Self-Employed Income Support Scheme (SEISS) at 80% of pre-crisis profits – and to do it now, not at the Budget.
“The Government must open-up the scheme to the 200,000 people who only have a 2019/20 tax return and urgently fix the holes in its support schemes that have left millions of others excluded from support.
“People can’t afford to wait for the Chancellor to get his act together. They need emergency action today, not more dither and delay until the Budget.”
Seven months after Sunak launched his ‘Plan for Jobs’ last July, figures shared by Mr Coaker today revealed 3040 people are claiming out of work benefits and 5,487 people are still on furlough in Gedling.
The current furlough scheme is set to expire at the end of April, but rumours suggest it might be extended.
Mr Coaker added: “With 4.6 million people still on furlough nationally, I am calling for the Chancellor not to repeat the mistakes of last year by winding down the scheme while public health restrictions are in place and demand is still severely impacted.
“Sunak should immediately announce an extension to the furlough scheme, to remove uncertainty for local businesses and workers.
“There must also be urgent reform to make furlough smarter, with new training to help furloughed workers improve their skills and tough conditions on employers to stop abuse.
“We need immediate action to recover jobs by overhauling the failing Kickstart scheme and to help create new jobs in the technologies of the future by reforming the shambolic Green Homes Grant.
Labour’s figures also show that 3040 people in Gedling had made claims under the Coronavirus Self-Employed Income Support Scheme (SEISS) by the end of July.
Mr Coaker added: “The Chancellor has left millions of self-employed people relying on the Self-Employed Income Support Scheme (SEISS) scheme in the dark about future support.