City councillors could consider the application for the massive superstore and a linked application for 360 homes at Partick as early as next week.
The new Tesco Extra, which will be similar in size to the firm's hypermarket at the Silverburn centre in Pollok, will be sited by the bank of the Clyde at the edge of the Glasgow Harbour development.
Gloria Coats, Tesco's corporate affairs manager, said it would help up to 500 people out of unemployment.
She added: "Our regeneration partnership at Glasgow Harbour cements our commitment to rejuvenating the local economy, ensuring our workforce is wholly representative of the local community and helping hundreds of local people back into employment.
"Everyone that has been unemployed for over six months would have the opportunity to apply to participate in the programme, and up to half the new jobs in store will be reserved for participants in the programme.
"All job seekers will receive interview training and all successful candidates will then be entered onto a training course, building on their confidence and life skills."
If the Tesco Extra gets the go-ahead it will stock a wide range of food and grocery products, including a large selection of household goods and will have a cafe overlooking the Clyde
The Tesco Regeneration Partnership Scheme sees people out of work for more than six months who land a job at the new store go on an eight-week training programme to improve literacy, numeracy and life skills.
The firm will work with employment agencies and the Job Centre Plus to find candidates, and all will get interview training.
Over the past 10 years, Tesco has created 26 Regeneration Partnership stores nationwide . The project has got more than 3,400 long-term unemployed people back to work around the UK.Tesco Maryhill ran a similar scheme which got 106 people jobs.
Tesco and Glasgow Harbour have jointly applied for permission for the new supermarket. In 2008, Tesco was granted planning permission for a development at Beith Street, Partick following a public inquiry.
The company got the go- ahead to build a 10,000sq m supermarket, accommodation for 653 students and 220 flats for sale.
But the development, which became known as Tesco Town, caused a storm of protest from local Partick residents and was never built.
If the city council approves the new application for a supermarket at South Street, Tesco will have to give up its planning permission for the massive original development.
A spokesman for the supermarket chain said: "The result of this is that there will not be two foodstores developed on the sites."
Glasgow Harbour has now submitted an application to build around 360 homes on the Beith Street site, which will be considered at the same time as the new Tesco Extra plan.