Up to 2,000 families in Norfolk could be eligible for a free computer as part of a scheme to support children's learning.
In January, the county council called on families with children eligible for free school meals to apply for a computer.
So far, 3,370 families have received grants for computers but the council said many more could be eligible.
Parents need to apply through the Home Access website by the end of the week.
The £300m Home Access scheme was first announced by then Prime Minister Gordon Brown in 2008.
Alison Thomas, Norfolk County Council cabinet member for children's services, said: "There is very little time left to apply for these computers and I would urge anyone who thinks they might be eligible to make an application.
"Children who have access to a computer have greater opportunities to explore the world of learning and can develop their technology and English skills."
The scheme works by providing families with a cash card and letter, stating what equipment they can buy and at what value.
Those who already have a computer can apply for free internet access.